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Continuous orbit equivalence of topological Markov shifts and KMS states on Cuntz-Krieger algebras. (English) Zbl 1461.46071

Summary: We study KMS states for gauge actions with potential functions on Cuntz-Krieger algebras whose underlying one-sided topological Markov shifts are continuously orbit equivalent. As a result, we have a certain relationship between topological entropy of continuously orbit equivalent one-sided topological Markov shifts.

MSC:

46L55 Noncommutative dynamical systems
46L35 Classifications of \(C^*\)-algebras
37B10 Symbolic dynamics
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