Minimal dynamical systems on the product of the Cantor set and the circle II
| dc.creator | Lin, Huaxin | |
| dc.creator | Matui, Hiroki | |
| dc.date | 2004-12-07 | |
| dc.date.accessioned | 2026-07-07T05:15:00Z | |
| dc.date.available | 2026-07-07T05:15:00Z | |
| dc.description | Let $X$ be the Cantor set and $ϕ$ be a minimal homeomorphism on $X\times\T$. We show that the crossed product $C^*$-algebra $C^*(X\times\T,ϕ)$ is a simple $A\T$-algebra provided that the associated cocycle takes its values in rotations on $\T$. Given two minimal systems $(X\times\T,ϕ)$ and $(Y\times\T,ψ)$ such that $ϕ$ and $ψ$ arise from cocycles with values in isometric homeomorphisms on $\T$, we show that two systems are approximately $K$-conjugate when they have the same $K$-theoretical information. | |
| dc.description | 38 pages | |
| dc.identifier | https://arxiv.org/abs/math/0412129 | |
| dc.identifier | http://arxiv.org/abs/math/0412129 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73502 | |
| dc.subject | Operator Algebras | |
| dc.title | Minimal dynamical systems on the product of the Cantor set and the circle II | |
| dc.type | text |