1Graduate School of Mathematics Kyushu University Chuo-Ku, Fukuoka 810-8560, Japan 2Department 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 3Department of Mathematics Colorado State University 101 Weber Building Fort Collins, CO 80523-1874, U.S.A.
Colloquium Mathematicum, Tome 110 (2008) no. 2, pp. 363-382
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.
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
Affiliations des auteurs :
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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title = {Finitary orbit equivalence and measured
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Bratteli diagrams
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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
