Full groups, flip conjugacy, and orbit equivalence of Cantor minimal systems
| dc.creator | Bezuglyi, Sergey | |
| dc.creator | Medynets, Konstantin | |
| dc.date | 2006-11-07 | |
| dc.date | 2007-09-28 | |
| dc.date.accessioned | 2026-07-07T08:32:42Z | |
| dc.date.available | 2026-07-07T08:32:42Z | |
| dc.description | In the paper, we consider the full group $[ϕ]$ and topological full group $[[ϕ]]$ 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 $[\f]$. | |
| dc.description | 17 pages, references added, some typos fixed | |
| dc.identifier | https://arxiv.org/abs/math/0611173 | |
| dc.identifier | http://arxiv.org/abs/math/0611173 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138874 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Group Theory | |
| dc.subject | 37B05 (Primary), 20B99 (Secondary) | |
| dc.title | Full groups, flip conjugacy, and orbit equivalence of Cantor minimal systems | |
| dc.type | text |