Continuous orbit equivalence, flow equivalence of Markov shifts and circle actions on Cuntz--Krieger algebras

2015/01/28 by Matsumoto, Kengo
#37B10 #Dynamical Systems (math.DS) #FOS: Mathematics #Operator Algebras (math.OA) #Primary 46L55 #Secondary 46L35

paper · doi:10.48550/arxiv.1501.06965

Abstract

We will study torus actions on Cuntz--Krieger algebras trivially acting on its canonical maximal abelian C^*-subalgebras from the view points of continuous orbit equivalence of one-sided topological Markov shifts and flow equivalence of two-sided topological Markov shifts.

Related

• Uniformly continuous orbit equivalence of Markov shifts and gauge actions on Cuntz-Krieger algebras
• Orbit equivalence of topological Markov shifts and Cuntz-Krieger algebras
• Continuous orbit equivalence of topological Markov shifts and KMS states on Cuntz--Krieger algebras
• Strongly continuous orbit equivalence of one-sided topological Markov shifts
• On one-sided topological conjugacy of topological Markov shifts and gauge actions on Cuntz--Krieger algebras