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.

17 pages

References in corpus (2)

• Cohomology groups, continuous full groups and continuous orbit equivalence of topological Markov shifts
• 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