Orbit equivalence for Cantor minimal Z^d-systems
Dynamical Systems
2015-05-13 v2
Abstract
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.
Cite
@article{arxiv.0810.3957,
title = {Orbit equivalence for Cantor minimal Z^d-systems},
author = {Thierry Giordano and Hiroki Matui and Ian F. Putnam and Christian F. Skau},
journal= {arXiv preprint arXiv:0810.3957},
year = {2015}
}
Comments
48 pages. Minor changes