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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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