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

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.

preprint2016arXivOpen access

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