Tracial Rokhlin property for automorphisms on simple $A{\mathbb T}$-algebras
| dc.creator | Lin, Huaxin | |
| dc.creator | Osaka, Hiroyuki | |
| dc.date | 2006-01-20 | |
| dc.date.accessioned | 2026-07-07T06:59:09Z | |
| dc.date.available | 2026-07-07T06:59:09Z | |
| dc.description | Let $A$ be a unital simple $A\T$-algebra of real rank zero. Given an isomorphism $γ_1: K_1(A)\to K_1(A),$ we show that there is an automorphism $\af: A\to A$ such that $\af_{*1}=γ_1$ which has the tracial Rokhlin property. Consequently, the crossed product $A\rtimes_{\af}\Z$ is a simple unital AH-algebra with real rank zero. We also show that automorphism with Rokhlin property can be constructed from minimal homeomorphisms on a connected compact metric space. | |
| dc.identifier | https://arxiv.org/abs/math/0601513 | |
| dc.identifier | http://arxiv.org/abs/math/0601513 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107641 | |
| dc.subject | Operator Algebras | |
| dc.subject | Dynamical Systems | |
| dc.title | Tracial Rokhlin property for automorphisms on simple $A{\mathbb T}$-algebras | |
| dc.type | text |