On one-sided topological conjugacy of topological Markov shifts and gauge actions on Cuntz--Krieger algebras

2020/07/04 by Matsumoto, Kengo
#37B10 #46L55 #Dynamical Systems (math.DS) #FOS: Mathematics #Operator Algebras (math.OA) #Primary 37A55 #Secondary 46L35

paper · doi:10.48550/arxiv.2007.01974

Abstract

We will characterize topological conjugacy classes of one-sided topological Markov shifts in terms of the associated Cuntz--Krieger algebras and its gauge actions with potentials.

Related

• One-sided topological conjugacy of topological Markov shifts, continuous full groups and Cuntz--Krieger algebras
• Topological conjugacy of topological Markov shifts and Cuntz-Krieger algebras
• Continuous orbit equivalence of topological Markov shifts and KMS states on Cuntz--Krieger algebras
• Uniformly continuous orbit equivalence of Markov shifts and gauge actions on Cuntz-Krieger algebras
• Strongly continuous orbit equivalence of one-sided topological Markov shifts