A construction of actions on Kirchberg algebras which induce given actions on their K-groups
| dc.creator | Katsura, Takeshi | |
| dc.date | 2006-08-03 | |
| dc.date | 2007-06-18 | |
| dc.date.accessioned | 2026-07-07T08:10:31Z | |
| dc.date.available | 2026-07-07T08:10:31Z | |
| dc.description | We prove that every action of a finite group all of whose Sylow subgroups are cyclic on the K-theory of a Kirchberg algebra can be lifted to an action on the Kirchberg algebra. The proof uses a construction of Kirchberg algebras generalizing the one of Cuntz-Krieger algebras, and a result on modules over finite groups. As a corollary, every automorphism of the K-theory of a Kirchberg algebra can be lifted to an automorphism of the Kirchberg algebra with same order. | |
| dc.description | 34 pages, Corrected typos | |
| dc.identifier | https://arxiv.org/abs/math/0608093 | |
| dc.identifier | http://arxiv.org/abs/math/0608093 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131848 | |
| dc.subject | Operator Algebras | |
| dc.subject | Primary 46L55; Secondary 46L40, 46L80 | |
| dc.title | A construction of actions on Kirchberg algebras which induce given actions on their K-groups | |
| dc.type | text |