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arXiv:math/0609668 [math.DS]AbstractReferencesReviewsResources

Orbit equivalence for Cantor minimal Z^2-systems

Thierry Giordano, Hiroki Matui, Ian F. Putnam, Christian F. Skau

Published 2006-09-24, updated 2007-11-22Version 3

We show that every minimal, free action of the group 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-actions and Z^2-actions.

Comments: 42 pages
Categories: math.DS, math.OA
Subjects: 37B05
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