Orbit equivalence for Cantor minimal Z^2-systems

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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.
42 pages

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Dynamical Systems, Operator Algebras, 37B05

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http://salesiana.dossiersoluciones.com/handle/123456789/142620

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609668
 http://arxiv.org/abs/math/0609668

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arXiv