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.