Orbit equivalence for Cantor minimal Z^2-systems

Details Orbit equivalence for Cantor minimal Z^2-systems Orbit equivalence for Cantor minimal Z^2-systems

2006-09-24

arxiv.org/abs/math/0609668v3

Mathematics

Dynamical Systems

42 pages

Scientific paper

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.

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