Chaotic tracial dynamics

0572843 - MÚ 2024 RIV GB eng J - Journal Article
Jacelon, Bhishan
Chaotic tracial dynamics.
Forum of Mathematics, Sigma. Roč. 11, May (2023), č. článku e39. E-ISSN 2050-5094
R&D Projects: GA ČR(CZ) GJ20-17488Y
Institutional support: RVO:67985840
Keywords : C*-algebras * nuclear dimension * invariant-measures
OECD category: Pure mathematics
Impact factor: 1.7, year: 2022
Method of publishing: Open access
https://doi.org/10.1017/fms.2023.38

The action on the trace space induced by a generic automorphism of a suitable finite classifiable -algebra is shown to be chaotic and weakly mixing. Model -algebras are constructed to observe the central limit theorem and other statistical features of strongly chaotic tracial actions. Genericity of finite Rokhlin dimension is used to describe -contractible stably projectionless -algebras as crossed products.
Permanent Link: https://hdl.handle.net/11104/0343400