Crossed products by finite group actions with the Rokhlin property
| dc.creator | Osaka, Hiroyuki | |
| dc.creator | Phillips, N. Christopher | |
| dc.date | 2007-04-27 | |
| dc.date | 2009-02-06 | |
| dc.date.accessioned | 2026-07-07T12:38:01Z | |
| dc.date.available | 2026-07-07T12:38:01Z | |
| dc.description | We prove that a number of classes of separable unital C*-algebras are closed under crossed products by finite group actions with the Rokhlin property, including: (1) AI algebras, AT algebras, and related classes characterized by direct limit decompositions using semiprojective building blocks. (2) Simple unital AH algebras with slow dimension growth and real rank zero. (3) C*-algebras with real rank zero or stable rank one. (4) C*-algebras whose quotients all satisfy the Universal Coefficient Theorem. Along the way, we give a systematic treatment of the derivation of direct limit decompositions from local approximation conditions by homomorphic images which are not necessarily injective. | |
| dc.description | 22 pages; AMSLaTeX. Changes for version 3: One theorem (on ideals in crossed products by the Rokhlin property) removed; it will appear in a different paper. Minor improvements. Changes for version 2: Substantial expansion | |
| dc.identifier | https://arxiv.org/abs/0704.3651 | |
| dc.identifier | http://arxiv.org/abs/0704.3651 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218608 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L55 (Primary) 46L35 (Secondary) | |
| dc.title | Crossed products by finite group actions with the Rokhlin property | |
| dc.type | text |