Finitary orbit equivalence and measured Bratteli diagrams

• Autorzy: T. Hamachi , M. S. Keane , M. K. Roychowdhury
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37A05: Measure-preserving transformations
• 37A20: Orbit equivalence, cocycles, ergodic equivalence relations
• 28D05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 110
• Numer: 2
• Strony: 363-382

Daty

wydano

2008

Twórcy

autor

T. Hamachi

• Graduate School of Mathematics, Kyushu University, Chuo-Ku, Fukuoka 810-8560, Japan

autor

M. S. Keane

• Department of Mathematics and Computer Science, Wesleyan University, Middletown, CT 06459, U.S.A.
• Philips Research Laboratories, Eindhoven
• Member of Center of Excellence, Department of Mathematics, Keio University

autor

M. K. Roychowdhury

• Department of Mathematics, Colorado State University, 101 Weber Building, Fort Collins, CO 80523-1874, U.S.A.

Identyfikatory

DOI

10.4064/cm110-2-4