Orbit equivalence for Cantor minimal ℤ²-systems-Reference-Cited by-同舟云学术

Orbit equivalence for Cantor minimal ℤ²-systems

Published:2008-01-22 Issue:3 Volume:21 Page:863-892
ISSN:0894-0347
Container-title:Journal of the American Mathematical Society
language:en
Short-container-title:J. Amer. Math. Soc.

Author:

Giordano Thierry,Matui Hiroki,Putnam Ian,Skau Christian

Abstract

We show that every minimal, free action of the group Z 2 \mathbb {Z}^{2} on the Cantor set is orbit equivalent to an AF-relation. As a consequence, this extends the classification of minimal systems on the Cantor set up to orbit equivalence to include AF-relations, Z \mathbb {Z} -actions and Z 2 \mathbb {Z}^{2} -actions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/jams/2008-21-03/S0894-0347-08-00595-X/S0894-0347-08-00595-X.pdf

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