Orbit equivalence for Cantor minimal Z2-systems
Thierry Giordano, Hiroki Matui, Ian F. Putnam, Christian F. Skau
Abstract
We show that every minimal, free action of the group Z2 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 Z2-actions.
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