Orbit equivalence for Cantor minimal Z^2-systems
Dynamical Systems
2007-11-22 v3 Operator Algebras
Abstract
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.
Cite
@article{arxiv.math/0609668,
title = {Orbit equivalence for Cantor minimal Z^2-systems},
author = {Thierry Giordano and Hiroki Matui and Ian F. Putnam and Christian F. Skau},
journal= {arXiv preprint arXiv:math/0609668},
year = {2007}
}
Comments
42 pages