Orbit equivalence and Kakutani equivalence with Sturmian subshifts
Volume 142 / 2000
Studia Mathematica 142 (2000), 25-45
DOI: 10.4064/sm-142-1-25-45
Abstract
Using dimension group tools and Bratteli-Vershik representations of minimal Cantor systems we prove that a minimal Cantor system and a Sturmian subshift are topologically conjugate if and only if they are orbit equivalent and Kakutani equivalent.
