Finitary orbit equivalence and measured Bratteli diagrams
Colloquium Mathematicum, Tome 110 (2008) no. 2, pp. 363-382.

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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.
DOI : 10.4064/cm110-2-4
Keywords: prove strengthened version dyes theorem orbit equivalence showing transformation structures represented finite coordinate change equivalence relations ergodic measured bratteli diagrams there finitary orbit equivalence between these diagrams

T. Hamachi 1 ; M. S. Keane 2 ; M. K. Roychowdhury 3

1 Graduate School of Mathematics Kyushu University Chuo-Ku, Fukuoka 810-8560, Japan
2 Department 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
3 Department of Mathematics Colorado State University 101 Weber Building Fort Collins, CO 80523-1874, U.S.A.
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T. Hamachi; M. S. Keane; M. K. Roychowdhury. Finitary orbit equivalence and measured
 Bratteli diagrams. Colloquium Mathematicum, Tome 110 (2008) no. 2, pp. 363-382. doi : 10.4064/cm110-2-4. http://geodesic.mathdoc.fr/articles/10.4064/cm110-2-4/

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