PermalinkSubmitted by Kengo on Thu, 07/06/2017 - 19:24
By endowing the equivalence relation with a suitable topology, it becomes the continuous orbit equivalence defined in [2]. It is completely classified in [3]( see [1] for more general case including reducible case).
The Krieger's dimension group appears in the equivalence relation restricted to n=m.
[1] T. M. Carlsen, S. Eilers, E. Ortega, and G. Restorff, Flow equivalence and orbit equivalence for shifts of finite type and isomorphisms of their groupoids, arXiv:1610.09945.
[2] K. Matsumoto, Orbit equivalence of topological Markov shifts and Cuntz--Krieger algebras, Pacific J. Math. 246(2010), 199--225.
[3] K. Matsumoto and H. Matui, Continuous orbit equivalence of topological Markov shifts and Cuntz--Krieger algebras, Kyoto J. Math. 54(2014), 863--878.
Tags
Comments
<div><br />
By endowing the equivalence relation with a suitable topology, it becomes the continuous orbit equivalence defined in [2]. It is completely classified in [3]( see [1] for more general case including reducible case).
The Krieger's dimension group appears in the equivalence relation restricted to n=m.
Add a new comment