Uniformly continuous orbit equivalence of Markov shifts and gauge actions on Cuntz-Krieger algebras

Published 19 Jul 2016 in math.OA | (1607.05372v1)

Abstract: We introduce a notion of uniformly continuous orbit equivalence as a subequivalence relation of continuous orbit equivalence of one-sided topological Markov shifts. It is described in terms of gauge actions on the associated Cuntz-Krieger algebras and continuous full groups of the Markov shifts.

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Kengo Matsumoto

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