Chaotic tracial dynamics
Operator Algebras
2023-05-08 v2
Abstract
The action on the trace space induced by a generic automorphism of a suitable finite classifiable C*-algebra is shown to be chaotic and weakly mixing. Model C*-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 KK-contractible stably projectionless C*-algebras as crossed products.
Keywords
Cite
@article{arxiv.2205.03951,
title = {Chaotic tracial dynamics},
author = {Bhishan Jacelon},
journal= {arXiv preprint arXiv:2205.03951},
year = {2023}
}
Comments
This version of the article will appear in Forum of Mathematics, Sigma