Finitary orbit equivalence and measured Bratteli diagrams
Volume 110 / 2008
Colloquium Mathematicum 110 (2008), 363-382
MSC: 28D05, 37A05, 37A20.
DOI: 10.4064/cm110-2-4
Abstract
We prove a strengthened version of Dye's theorem on orbit equivalence, showing that if the transformation structures are represented as finite coordinate change equivalence relations of ergodic measured Bratteli diagrams, then there is a finitary orbit equivalence between these diagrams.