Chaotic tracial dynamics

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.

arXiv commentThis version of the article will appear in Forum of Mathematics, Sigma