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

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.

11 pages, to appear in Proc. AMS

References in corpus (2)

• Continuous orbit equivalence of topological Markov shifts and Cuntz-Krieger algebras
• Continuous orbit equivalence, flow equivalence of Markov shifts and circle actions on Cuntz--Krieger algebras

Cited by in corpus (1)

• C*-algebras, groupoids and covers of shift spaces