Continuous orbit equivalence of topological Markov shifts and KMS states on Cuntz--Krieger algebras

Published 5 Jul 2019 in math.OA and math.DS | (1907.03589v3)

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

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Kengo Matsumoto

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