Random amenable C*-algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00574183" target="_blank" >RIV/67985840:_____/23:00574183 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1017/S0305004123000178" target="_blank" >https://doi.org/10.1017/S0305004123000178</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/S0305004123000178" target="_blank" >10.1017/S0305004123000178</a>
Alternative languages
Result language
angličtina
Original language name
Random amenable C*-algebras
Original language description
What is the probability that a random UHF algebra is of infinite type? What is the proba-bility that a random simple AI algebra has at most k extremal traces? What is the expected value of the radius of comparison of a random Villadsen-type AH algebra? What is the prob-ability that such an algebra is Z-stable? What is the probability that a random Cuntz-Krieger algebra is purely infinite and simple, and what can be said about the distribution of its K- theory? By constructing C*-algebras associated with suitable random (walks on) graphs, we provide context in which these are meaningful questions with computable answers.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GF22-07833K" target="_blank" >GF22-07833K: Homogeneity and Genericity of Metric Structures - Groups, Dynamical Systems, Banach Spaces and C*-Algebras</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematical Proceedings of the Cambridge Philosophical Society
ISSN
0305-0041
e-ISSN
1469-8064
Volume of the periodical
175
Issue of the periodical within the volume
2
Country of publishing house
GB - UNITED KINGDOM
Number of pages
22
Pages from-to
345-366
UT code for WoS article
000970723300001
EID of the result in the Scopus database
2-s2.0-85167959731