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arXiv · 0810.3957

Orbit equivalence for Cantor minimal Z^d-systems

Thierry Giordano·Hiroki Matui·Ian F. Putnam·Christian F. Skau
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Abstract

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.

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Thierry Giordano, Hiroki Matui, Ian F. Putnam, Christian F. Skau. 2008-10-22. Orbit equivalence for Cantor minimal Z^d-systems. https://doi.org/10.1090/s0894-0347-08-00595-x

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