Extension problems for representations of crossed-product C*-algebras
| dc.creator | Huef, Astrid an | |
| dc.creator | Kaliszewski, S. | |
| dc.creator | Raeburn, Iain | |
| dc.creator | Williams, Dana P. | |
| dc.date | 2005-02-08 | |
| dc.date | 2006-11-09 | |
| dc.date.accessioned | 2026-07-07T06:39:24Z | |
| dc.date.available | 2026-07-07T06:39:24Z | |
| dc.description | We consider the following problem. Suppose $α$ is an action of a locally compact group $G$ on a $C^*$-algebra $A$, $H$ is a closed subgroup of $G$, and $(π,U)$ is a covariant representation of $(A,H,α)$. For which closed subgroups $K$ containing $H$ is there a covariant representation $(π,V)$ of $(A,K,α)$ such that $V|_H=U$? We answer this problem by providing a criterion involving the induced representation of $(A,G,α)$. We then consider the dual problem for coactions of locally compact groups. | |
| dc.description | Added a proposition and a lemma | |
| dc.identifier | https://arxiv.org/abs/math/0502151 | |
| dc.identifier | http://arxiv.org/abs/math/0502151 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101066 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L55 | |
| dc.title | Extension problems for representations of crossed-product C*-algebras | |
| dc.type | text |