Orbit equivalence for Cantor minimal Z^d-systems

Details Orbit equivalence for Cantor minimal Z^d-systems Orbit equivalence for Cantor minimal Z^d-systems

2008-10-22

arxiv.org/abs/0810.3957v2

Mathematics

Dynamical Systems

48 pages. Minor changes

Scientific paper

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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