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1 On a Simple Unital Projectionless C -Algebra - JSTOR
https://www.jstor.org/stable/25098671
general method, we now construct a unital projectionless simple C*-algebra. The idea is to construct a projectionless unital C*-algebra f with Prim(r) a circle, ...
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2 On a simple unital projectionless C*-algebra - Project MUSE
https://muse.jhu.edu/article/837/pdf
Abstract. We construct a unital separable C -algebra Zas an analog of the hyperfinite type II1 factor. Besides being nuclear, simple, projectionless, ...
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3 Projectionless C*-algebra - Wikipedia
https://en.wikipedia.org/wiki/Projectionless_C*-algebra
In mathematics, a projectionless C*-algebra is a C*-algebra with no nontrivial projections. For a unital C*-algebra, the projections 0 and 1 are trivial.
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4 PROJECTIONLESS C*-ALGEBRAS We call a unital C
http://www.ams.org/proc/2002-130-01/S0002-9939-01-06059-2/S0002-9939-01-06059-2.pdf
It is easy to check that a nonunital C*-algebra is projectionless if and only if its unitization is projectionless. Hence in this paper we ...
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5 Nuclear dimension of simple stably projectionless C*-algebras
https://arxiv.org/abs/1901.11441
We prove that Z-stable, simple, separable, nuclear, non-unital C*-algebras have nuclear dimension at most 1. This completes the equivalence ...
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6 Journal of Operator Theory :: a mathematics journal
http://www.mathjournals.org/jot/1981-005-001/1981-005-001-006.html
A simple unital projectionless C*-algebra. Authors: Bruce E. Blackadar Author institution: Department of Mathematics University of Nevada Reno, Nevada 89557 ...
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7 Simple, Z-stable, projectionless C*-algebras - Hannes Thiel
http://hannesthiel.org/simple-z-stable-projectionless-c-algebras
Further, a simple C*-algebra is projectionless if it contains no ... Rørdam showed in Theorem 6.7 in ​[2]​ that every unital, simple, finite.
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8 simple stably projectionless c-algebras arising as crossed ...
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/DB083DE9FDE5577AE3A4275FF681C127/S0008414X00038761a.pdf/simple_stably_projectionless_calgebras_arising_as_crossed_products.pdf
A large class of simple stably projectionless C*-algebras are shown ... the relationship between KMS states on a unital C*-algebra for a given one-parameter.
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9 Simple stably projectionless C*-algebras with generalized ...
https://ems.press/journals/jncg/articles/16926
... of stably projectionless simple C\*-algebras which may be viewed as having generalized tracial rank one in analogy with the unital case.
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10 On Infinite Simple C*-Algebras - ScienceDirect.com
https://www.sciencedirect.com/science/article/pii/002212369190109I/pdf?md5=25cf30a76cdee782f1ce8076153ee6ee&pid=1-s2.0-002212369190109I-main.pdf
a-unital). Since there exist projectionless simple C*-algebras [ 1, 21, a natural question arises: “Which simple C*-algebras contain nontrivial projections?
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11 a simple unital projectionless c*-algebra - The Theta Foundation
https://jot.theta.ro/jot/archive/1981-005-001/1981-005-001-006.pdf
author constructed a simple nonunital projectionless C*-algebra. Using the same general method, we now construct a unital projectionless simple C*-algebra.
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12 Regularity for stably projectionless, simple C*-algebras
https://mysite.science.uottawa.ca/atikuisis/projless-regularity.pdf
lent to the unital C∗-algebra p(A ⊗ K)p by Brown's Theorem [4]; thus we shall talk about stably projectionless C∗-algebras instead of merely.
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13 algebras with generalized tracial rank one - Semantic Scholar
https://www.semanticscholar.org/paper/Simple-stably-projectionless-C*-algebras-with-rank-Elliott-Gong/ad202576f257b048f1bd95b5609f9b1ca4e45b92
... of stably projectionless simple C*-algebras which may be viewed as having generalized tracial rank one in analogy with the unital case.
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14 K- theory of stably projectionless C* algebras
https://math.stackexchange.com/questions/3105319/k-theory-of-stably-projectionless-c-algebras
Indeed, C0(R2) provides such an example. Based on the answer to your previous question, K0(C0(R2)=Z is nontrivial. To show that C0(R2) is stably projectionless, ...
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15 Every classifiable simple C*-algebra has a Cartan subalgebra
https://link.springer.com/article/10.1007/s00222-019-00914-0
The only reason we restrict to the unital case here is that classification in the stably projectionless case has not been completed yet. The ...
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16 On classification of non-unital amenable simple C*-algebras ...
https://www.researchgate.net/publication/357417984_On_classification_of_non-unital_amenable_simple_C-algebras_III_Stably_projectionless_C-algebras
PDF | We show, based on previous results, that two separable simple stably projectionless amenable ${\cal Z}$-stable $C^*$-algebras which ...
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17 Strict comparison and Z-absorption of nuclear C -algebras
https://projecteuclid.org/journals/acta-mathematica/volume-209/issue-1/Strict-comparison-and--mathcalZ--absorption-of-nuclear-C/10.1007/s11511-012-0084-4.pdf
X. Jiang and H. Su [5] constructed a unital separable simple infinite-dimensional nuclear. C∗-algebra Z, called the Jiang–Su algebra, whose K-theoretic ...
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18 Z-Stable ASH Algebras - Purdue Math
https://www.math.purdue.edu/~atoms/zash.pdf
showed that if a simple, unital and nuclear C∗-algebra A has a weakly unperforated ... not approximately divisible, since it is unital and projectionless).
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19 Projectionless C*-algebra - Wikiwand
https://www.wikiwand.com/en/Projectionless_C*-algebra
While for a non-unital C*-algebra, only 0 is considered trivial. The problem of whether simple infinite-dimensional C*-algebras with this property exist was ...
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20 a simple, self-absorbing, stably projectionless c∗-algebra
https://www.uni-muenster.de/SFB878/publications/files/phpc91M131537.pdf
We construct a simple, nuclear, stably projectionless C∗-algebra W which has ... simple, separable, unital, nuclear C∗-algebras that satisfy the UCT.
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21 Every classifiable simple C*-algebra has a Cartan subalgebra
https://d-nb.info/1202340687/34
{An;ξn} is a simple unital C*-algebra with prescribed Elliott invari- ant. 2.2 The stably projectionless case.
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22 CERTAIN APERIODIC AUTOMORPHISMS OF UNITAL SIMPLE ...
https://www.worldscientific.com/doi/pdf/10.1142/S0129167X09005741
In this paper, we study aperiodic automorphisms of certain unital simple projectionless C. ∗. -algebras with a unique tracial state, which were constructed ...
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23 View of On the automorphism group of certain simple $C
https://www.mscand.dk/article/view/14458/12455
IntroductionFor a unitalC∗-algebraAthe Elliott invariantEAconsists of the ... of matrix algebras over simple unital projectionlessC∗-algebras, see [3, ...
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24 Certain aperiodic automorphisms of unital simple projectionless C ...
https://kyushu-u.pure.elsevier.com/en/publications/certain-aperiodic-automorphisms-of-unital-simple-projectionless-c
Let G be an inductive limit of finite cyclic groups, and A be a unital simple projectionless C*-algebra with K1(A) ≅ G and a unique tracial state, ...
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25 algebras with finite nuclear dimension - NSF PAR
https://par.nsf.gov/servlets/purl/10223794
The classification of unital simple separable C*-algebras with finite nuclear ... (What (2) says is that the C*-algebras in C0 are stably projectionless.
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26 Nuclear dimension of simple stably projectionless C*-algebras ...
https://www.arxiv-vanity.com/papers/1901.11441/
Fundamentally, there are two cases to consider: the unital case and the stably projectionless case. (This dichotomy follows from Brown's Theorem ( [Br77] ) and ...
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27 A simple C -algebra with a finite and an infinite projection
http://web.math.ku.dk/~rordam/manus/simple.pdf
red(F2) is a simple unital C∗-algebra with no non-trivial projections. ... every stably projectionless simple C∗-algebra is finite in the sense of ...
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28 A CONTINUOUS FIELD OF PROJECTIONLESS C*-ALGEBRAS
https://tspace.library.utoronto.ca/bitstream/1807/12968/1/nq41013.pdf
showed in [Cull that On is a simple C*-algebra, so in fact any n isometries ... A projectionless quotient of a non-unital one dimensional.
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29 Unital $C^{*}$ algebras whose all elements have path ...
https://mathoverflow.net/questions/195900/unital-c-algebras-whose-all-elements-have-path-connected-spectrum
Example of a connected C∗ algebra : See B.E. Blackadar. A simple unital projectionless C∗-algebra. J. Operator Theory, 5:63–71, 1981.
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30 A double commutant theorem for the corona algebra of a ...
https://nyjm.albany.edu/j/2018/24-7v.pdf
A basic result in von Neumann algebra theory is that if A is a unital. C*-subalgebra of B(H), then the double commutant of A is equal to the.
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31 Publications
http://zniu.org/publications.html
Journal of Geometry and Physics, accepted. Simple stably projectionless C*-algebras with generalized tracial rank one. (With G. A. Elliott, G. Gong and H. Lin).
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32 CLASSIFIABLE C∗-ALGEBRAS FROM MINIMAL Z-ACTIONS ...
https://www.math.uvic.ca/faculty/putnam/r/2003_main.pdf
Building on this, we construct projectionless C∗-algebras ... Let A be a simple, separable, unital, nuclear C∗-algebra. The Elliott.
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33 C*-algebra Book - Mathematics - University of Waterloo
https://www.math.uwaterloo.ca/~krdavids/calgbook.html
... Riesz groups 118 The Effros--Handelman--Shen Theorem 120 Blackadar's Simple Unital Projectionless C*-algebra 124 Exercises 129 C*-Algebras of Isometries ...
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34 ALGEBRAS
https://ora.ox.ac.uk/objects/uuid:9763131b-8ebe-4dcf-ab98-7c7580c2bbdf/files/md2e7861757f031d7155d84f2912dccf6
above, that Brown's Theorem ([10]) implies a dichotomy for simple. C∗-algebras between the unital and the stably projectionless case.
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35 algebras: From quasidiagonality to classification and back again
https://eta.impa.br/dl/198.pdf
T A: For a separable, simple, unital, nuclear C -algebra A ¤ Mr (C) with at most one tracial state, the following are equivalent: (i) A has finite nuclear ...
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36 Covering Dimension for Nuclear C*-algebras - NASA/ADS
https://ui.adsabs.harvard.edu/abs/arXiv:math%2F0107218
... $C^*$-algebras, like the irrational rotation algebras, the Bunce-Deddens algebras or Blackadar's simple unital projectionless $C^*$-algebra.
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37 Nonunital simple C*-algebras
http://helper.ipam.ucla.edu/publications/atc2021/atc2021_16782.pdf
Let A be a unital C∗-algebra and let T(A) be the tracial state space of ... There are separable stably projectionless simple C∗-algebras A ...
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38 Nonstable K-Theory for Operator Algebras - Portico
https://access.portico.org/Portico/show?content=E-Journal%20Content&cs=ISSN_09203036&auId=ark%3A%2F27927%2Fpgg1frvhrhg&auViewType1=PDF
multiplier or corona algebra of a a-unital C*-algebra, a properly infinite yon Neumann algebra, or one of the projectionless simple C*-algebras constructed ...
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39 algebras of real rank zero - The Abel Symposium
https://abelsymposium.no/symp2004/preprints/rordam.pdf
We refer to a C*-algebra in this class as an initial object. We show that there are many initial objects, including for example some unital, simple, ...
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40 The Weak Tracial Rokhlin Property for Finite Group Actions on ...
https://www.elibm.org/ft/10012088000
erty on simple stably projectionless C*-algebras. ... on simple unital C*-algebras with few projections [44, 36, 21, 51, 16, 52] (see.
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41 Minimal dynamics and the classification of C*-algebras - PNAS
https://www.pnas.org/doi/10.1073/pnas.0903629106
Let A,B be unital simple separable nuclear C*-algebras which absorb the Jiang-Su algebra Z tensorially (7, 19). Suppose that for any prime l, the tensor ...
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42 Jorge Castillejos' website - Research
https://sites.google.com/view/castillejos/research
[8] On tracial Z-stability of simple non-unital C*-algebras (with K. Li and ... [3] Nuclear dimension of simple stably projectionless C*-algebras (with S.
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43 Approximate uniqueness for maps from C(X) into simple real ...
https://userweb.ucs.louisiana.edu/~pwn1677/RR0AUE.pdf
unital simple C*-algebra with real rank zero, stable rank one, weakly unperforated ... algebra is the projectionless algebra Z. (See, for example, ...
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44 Minimal dynamics and the classification of C*-algebras - PMC
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2761370/
Theorem A. Let C denote the class of C*-algebras having the following ... It follows that AY is a unital simple separable C*-algebra of ...
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45 A simple separable exact C*-algebra not anti-isomorphic to itself
https://www.academia.edu/48392759/A_simple_separable_exact_C_algebra_not_anti_isomorphic_to_itself
We present a stable uniqueness theorem for non-unital C*-algebras. Generalized tracial rank one is defined for stably projectionless simple C*-algebras.
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46 nonstable k-theory for z-stable c∗-algebras - Illinois Math
https://conf.math.illinois.edu/K-theory/0233/current.pdf
Let Z denote the simple limit of prime dimension drop algebras that has a unique tracial state (cf. Jiang and Su [11]). Let A = 0 be a unital C∗-algebra ...
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47 OMITTING TYPES AND AF ALGEBRAS - Mathematical Sciences
https://www.math.cmu.edu/users/enochc/publications/types-23dec12.pdf
program for classification of nuclear, simple, separable, unital C*-algebras by their K-theoretic invariants (see [?] or [?]).
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48 NON-SIMPLE PURELY INFINITE C∗-ALGEBRAS
https://hal.archives-ouvertes.fr/hal-00922863/document
original definition of purely infinite simple C*-algebras by J. Cuntz on page ... Suppose that A is a unital C*-algebra with primitive ideal space Prim(A) ...
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49 Feuilletages et algèbres d'opérateurs - Numdam
http://www.numdam.org/book-part/SB_1979-1980__22__139_0/
[4] B. Blackadar - A simple unital projectionless C*-algebra, preprint, University of ... [8] A. Connes - C*-algebres et géométrie différentielle, preprint.
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50 The stable and the real rank of Z-absorbing C -algebras
http://www.wenqujingdian.com/Public/editor/attached/file/14/A2076882.pdf
algebra: a unital, simple, stably finite, separable, nuclear, infinite dimensional C∗- algebra with the same Elliott invariant as the complex numbers.
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51 Research Statement - University of Oregon
https://pages.uoregon.edu/sadofsky/FinalYear/Research3b.pdf
Let A be an infinite dimensional stably finite simple unital C∗-algebra with ... I have formulated a projectionless generalization of the tracial Rokhlin ...
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52 Nuclear dimension of simple stably projectionless C
https://eprints.gla.ac.uk/199215/1/199215.pdf
Theorem 2.1 ([10, Theorem 2.8]). Let B be a full hereditary subalgebra of a C∗-algebra A. Suppose both A and B are σ-unital. Then B is ...
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53 The parallel refinement of weakening idempotent pair
https://www.tandfonline.com/doi/full/10.1080/03081087.2015.1018117
Theory. 1981;5:63–71. [Web of Science ®], [Google Scholar]; Jiang X, Su H. On a simple unital projectionless C*-algebra. Am. J. Math. 1999;121:359–413.
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54 Quasidiagonality of nuclear C$^{*}$-algebras
https://annals.math.princeton.edu/2017/185-1/p04
Firstly, by results of many hands, the classification of unital, separable, simple and nuclear C∗-algebras of finite nuclear dimension which satisfy the ...
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55 the jiang-su algebra does not always embed
https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2009/0016/0001/MRL-2009-0016-0001-a003.pdf
There is a unital simple nuclear infinite dimensional C∗-algebra (in fact, ... [3] X. Jiang and H. Su, On a simple unital projectionless C*-algebra, Amer.
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56 On classification of non-unital amenable simple C*-algebras ...
https://paperswithcode.com/paper/on-classification-of-non-unital-amenable-1
We also show that every stably projectionless separable simple amenable C ∗ -algebra in the UCT class has rationally generalized tracial rank ...
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57 The Jiang-Su absorption for C*-algebras (Joint work with ...
https://www.isibang.ac.in/~jay/OTOA2014/ctalks/HO.pdf
Here Jiag-Su algebra Z is a simple unital projectionless C*-algebra with a unique trqcial state constructed by the inductive limite of.
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58 structure of nuclear c∗-algebras: lectures 6-10
https://www.pims.math.ca/files/Brown-VictoriaNotes.pdf
Specializing to separable unital nuclear simple C∗-algebras, KK0(A, D) has a beautiful and extraordinarily useful description (see [35, Theorem 4.1.3] for ...
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59 THE JIANG-SU ALGEBRA DOES NOT ALWAYS EMBED The Jiang ...
https://www.cs.bgu.ac.il/~ilan/noembed-v12.pdf
We exhibit a unital simple nuclear non-type-I C∗-algebra into which ... is a class of unital separable C∗-algebras, and A ∈ C has the properties that (i) ...
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60 A (Very) Short Course on C -Algebras
https://math.dartmouth.edu/~dana/bookspapers/cstar.pdf
on C∗-algebras which I've given several times at Dartmouth College. ... But the basic theory is much better suited to unital algebras and ...
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61 Kyushu University [ (Associate Professor) Faculty of Mathematics ...
https://hyoka.ofc.kyushu-u.ac.jp/search/details/K007544/thesisList_e.html
Yasuhiko Sato, Certain aperiodic automorphisms of unital simple projectionless C* -algebras, International Journal of Mathematics, 10.1142/S0129167X09005741 ...
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62 A Classification Theorem for Nuclear Purely Infinite Simple C
https://www.math.uni-bielefeld.de/documenta/vol-05/04.pdf
B be separable nuclear unital purely infinite simple C∗-algebras which ... algebra to the tensor product of a unital C∗-algebra and the ...
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63 Simple projectionless C*-algebras - UBC Library Open Collections
https://open.library.ubc.ca/cIRcle/collections/48630/items/1.0364678
Simple projectionless C*-algebras. Creator. Lin, Huaxin. Publisher. Banff International Research Station for Mathematical Innovation and Discovery.
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64 Powers' Property and Simple C*-Algebras
https://webusers.imj-prg.fr/~georges.skandalis/Publications/Publi13.pdf
Powers' Property and Simple C*-Algebras. Pierre de la Harpe and Georges Skandalis. Section de Math~matiques, Universit6 de Gen~ve, Case Postale 240,.
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65 Finite-dimensional C*-algebras - 01 - *-homomorphisms
https://www.youtube.com/watch?v=NbgpY0hkFi0
Arthur Parzygnat
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66 A simple, monotracial, stably projectionless C*-algebra | Jacelon, B ...
https://ur.booksc.me/book/44266639/51b088
Nuclear dimension,(mathcal{Z })-stability, and algebraic simplicity for stably projectionless(C^*)-algebras | Tikuisis, Aaron | download | BookSC.
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67 C -algebras - Faculty of Physics University of Warsaw
https://www.fuw.edu.pl/~derezins/mat-c.pdf
Note, however, that there may be other (even more natural) norms on Aun extending the norm on A. Theorem 2.3 Let A be a unital Banach algebra.
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68 Proceedings Of The International Congress Of Mathematicians ...
https://books.google.com/books?id=iO60DwAAQBAJ&pg=PA1821&lpg=PA1821&dq=on+a+simple+unital+projectionless+c+algebra&source=bl&ots=4PhoiH9tqW&sig=ACfU3U2_hpvwZPW9Og7EhaVasMp4VFpLkQ&hl=en&sa=X&ved=2ahUKEwigzp7Otrn7AhVgXaQEHe03CxkQ6AF6BAgmEAM
“On the classification of simple inductive limit C-algebras. II. ... a simple unital projectionless C-algebra”. Amer. J. Math. 121, pp. 359–413 (cit. on p.
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69 Operator Algebras and Applications: The Abel Symposium 2015
https://books.google.com/books?id=vv3CDAAAQBAJ&pg=PA346&lpg=PA346&dq=on+a+simple+unital+projectionless+c+algebra&source=bl&ots=98pZDbL3ko&sig=ACfU3U1c3X8b_lO5xsS25TRrIjeyPpMyjQ&hl=en&sa=X&ved=2ahUKEwigzp7Otrn7AhVgXaQEHe03CxkQ6AF6BAgjEAM
Xinhui Jiang and Hongbing Su. On a simple unital projectionless C-algebra. Amer. J. Math., 121:359–413, 1999. Eberhard Kirchberg. Exact C-algebras, tensor ...
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70 C*-algebras by Example - Page 124 - Google Books Result
https://books.google.com/books?id=0TXteNfrzvcC&pg=PA124&lpg=PA124&dq=on+a+simple+unital+projectionless+c+algebra&source=bl&ots=5X2OIF00IB&sig=ACfU3U3FzlbStGsvmSWvXfsTJIu8oPwLIQ&hl=en&sa=X&ved=2ahUKEwigzp7Otrn7AhVgXaQEHe03CxkQ6AF6BAglEAM
... IV.8 Blackadar's Simple Unital Projectionless C * -algebra In this section , we will provide an application of the ideas presented about AF algebras to ...
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71 Classification of Nuclear C*-Algebras. Entropy in Operator ...
https://books.google.com/books?id=jD7zCAAAQBAJ&pg=PA138&lpg=PA138&dq=on+a+simple+unital+projectionless+c+algebra&source=bl&ots=-DgtAzyj3o&sig=ACfU3U2OLHMfceB0U4XIUMTSaN9ykzeq3A&hl=en&sa=X&ved=2ahUKEwigzp7Otrn7AhVgXaQEHe03CxkQ6AF6BAgkEAM
X. Jiang and H. Su, On a simple unital projectionless C*-algebra, Amer. J. Math. 121 (1999), no. 2, 359–413. G. G. Kasparov, The operator K-functor and ...
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72 From the Basic Homotopy Lemma to the Classification of ...
https://books.google.com/books?id=GpwxDwAAQBAJ&pg=PA235&lpg=PA235&dq=on+a+simple+unital+projectionless+c+algebra&source=bl&ots=O1D5sTYhXb&sig=ACfU3U12ezgxO0PNWBhCP8gru2UkP8Tncg&hl=en&sa=X&ved=2ahUKEwigzp7Otrn7AhVgXaQEHe03CxkQ6AF6BAgiEAM
10 (1935), 26–30, doi:10.1112/jlms/s1-10.37.26 Xinhui Jiang and Hongbing Su, On a simple unital projectionless C*-algebra, Amer. J. Math. 121 (1999), no.
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73 Aspects of Operator Algebras and Applications: UIMP-RSME ...
https://books.google.com/books?id=gUvVAwAAQBAJ&pg=PA70&lpg=PA70&dq=on+a+simple+unital+projectionless+c+algebra&source=bl&ots=teGh87siBO&sig=ACfU3U2Cb35-_9QEzqW14MnPe6uWO-IlOQ&hl=en&sa=X&ved=2ahUKEwigzp7Otrn7AhVgXaQEHe03CxkQ6AF6BAgnEAM
X. Jiang, H. Su, On a simple unital projectionless C∗-algebra, Amer. J. Math. 121 (1999), 359-413. R.V. Kadison and J.R. Ringrose, Fundamentals of the ...
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