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

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.

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Veröffentlicht in:Proceedings of the American Mathematical Society 2017-03, Vol.145 (3), p.1131-1140
1. Verfasser: MATSUMOTO, KENGO
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/13387