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Orbit equivalence for Cantor minimal Z^d-systems
- Publication Year :
- 2008
-
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.<br />Comment: 48 pages. Minor changes
- Subjects :
- Mathematics - Dynamical Systems
37B05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0810.3957
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1090/S0894-0347-08-00595-X