Chaotic tracial dynamics

2022/05/08 by Bhishan Jacelon, Jacelon, Bhishan · 3 citations
Mathematics · Physics and Astronomy · #37A25 #37A55 #46L35 #46L85 #Advanced Operator Algebra Research #FOS: Mathematics #Operator Algebras (math.OA) #Quantum Mechanics and Applications #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2205.03951

openalex publication_date 2022/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Tracially lyriform C^*-algebras
• Brown-Voiculescu entropy revisited
• Quantum Wasserstein distances for quantum permutation groups

Related

• Crossed Products by Automorphisms with the Tracial Quasi-Rokhlin Property
• Dynamical systems of type (m,n) and their C*-algebras
• Trace Asymptotics for C*-Algebras from Smale Spaces
• Applications of model theory to C*-dynamics
• Finiteness and Paradoxical Decompostions in C*-Dynamical Systems