One-sided topological conjugacy of topological Markov shifts, continuous full groups and Cuntz--Krieger algebras

Abstract

We will characterize topological conjugate one-sided topological Markov shifts in terms of their subgroups of continuous full groups and subalgebras of Cuntz--Krieger algebras.

arXiv comment17 pages

References in corpus (5)

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• Equivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph C*-algebras and Leavitt path algebras
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• On a family of $C^{\ast }$-subalgebras of Cuntz-Krieger algebras

Cited by in corpus (2)

• Conjugacy of local homeomorphisms via groupoids and C*-algebras
• On a family of $C^{\ast }$-subalgebras of Cuntz-Krieger algebras