Journal article
Full groups, flip conjugacy, and orbit equivalence of cantor minimal systems
Colloquium mathematicum, Vol.110(2), pp.409-429
2008
DOI: 10.4064/cm110-2-6
Abstract
In the paper, we consider the full group $[\\phi]$ and topological full group $[[\\phi]]$ of a Cantor minimal system $(X,\\f)$. We prove that the commutator subgroups $D([\\f])$ and $D([[\\f]])$ are simple and show that the groups $D([\\f])$ and $D([[\\f]])$ completely determine the class of orbit equivalence and flip conjugacy of $\\f$, respectively. These results improve the classification found in \\cite{gps:1999}. As a corollary of the technique used, we establish the fact that $\\f$ can be written as a product of three involutions from $[\\f]$.
Details
- Title: Subtitle
- Full groups, flip conjugacy, and orbit equivalence of cantor minimal systems
- Creators
- S BezuglyiK Medynets
- Resource Type
- Journal article
- Publication Details
- Colloquium mathematicum, Vol.110(2), pp.409-429
- DOI
- 10.4064/cm110-2-6
- ISSN
- 1730-6302
- eISSN
- 1730-6302
- Language
- English
- Date published
- 2008
- Academic Unit
- Mathematics
- Record Identifier
- 9983985982202771
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