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Continuous orbit equivalence, flow equivalence of Markov shifts and circle actions on Cuntz--Krieger algebras (1501.06965v4)

Published 28 Jan 2015 in math.OA and math.DS

Abstract: We will study torus actions on Cuntz--Krieger algebras trivially acting on its canonical maximal abelian $C*$-subalgebras from the view points of continuous orbit equivalence of one-sided topological Markov shifts and flow equivalence of two-sided topological Markov shifts.

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