Uniformly continuous orbit equivalence of Markov shifts and gauge   actions on Cuntz-Krieger algebras
  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. 
Kengo Matsumoto
math.OA