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arXiv:0810.3957 [math.DS]AbstractReferencesReviewsResources

Orbit equivalence for Cantor minimal Z^d-systems

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

Published 2008-10-22, updated 2009-07-21Version 2

We show that every minimal action of any finitely generated abelian group on the Cantor set is (topologically) orbit equivalent to an AF relation. As a consequence, this extends the classification up to orbit equivalence of minimal dynamical systems on the Cantor set to include AF relations and Z^d-actions.

Comments: 48 pages. Minor changes
Categories: math.DS
Subjects: 37B05
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