Random amenable C*-algebras

0574183 - MÚ 2024 RIV GB eng J - Journal Article
Jacelon, Bhishan
Random amenable C*-algebras.
Mathematical Proceedings of the Cambridge Philosophical Society. Roč. 175, č. 2 (2023), s. 345-366. ISSN 0305-0041. E-ISSN 1469-8064
R&D Projects: GA ČR(CZ) GF22-07833K
Institutional support: RVO:67985840
Keywords : C*-algebras * random graphs * random walks on graphs
OECD category: Pure mathematics
Impact factor: 0.8, year: 2022
Method of publishing: Open access
https://doi.org/10.1017/S0305004123000178

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.
Permanent Link: https://hdl.handle.net/11104/0344531