A+ CATEGORY SCIENTIFIC UNIT

Finitary orbit equivalence and measured Bratteli diagrams

Volume 110 / 2008

T. Hamachi, M. S. Keane, M. K. Roychowdhury 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.

Authors

  • T. HamachiGraduate School of Mathematics
    Kyushu University
    Chuo-Ku, Fukuoka 810-8560, Japan
    e-mail
  • M. S. KeaneDepartment of Mathematics
    and Computer Science
    Wesleyan University
    Middletown, CT 06459, U.S.A.
    and
    Philips Research Laboratories
    Eindhoven
    and
    Member of Center of Excellence
    Department of Mathematics
    Keio University
    e-mail
  • M. K. RoychowdhuryDepartment of Mathematics
    Colorado State University
    101 Weber Building
    Fort Collins, CO 80523-1874, U.S.A.
    e-mail

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