Covariant representations of Hecke algebras and imprimitivity for crossed products by homogeneous spaces
| dc.creator | Huef, Astrid an | |
| dc.creator | Kaliszewski, S. | |
| dc.creator | Raeburn, Iain | |
| dc.date | 2005-09-13 | |
| dc.date.accessioned | 2026-07-07T05:23:10Z | |
| dc.date.available | 2026-07-07T05:23:10Z | |
| dc.description | For discrete Hecke pairs $(G,H)$, we introduce a notion of covariant representation which reduces in the case where $H$ is normal to the usual definition of covariance for the action of $G/H$ on $c_0(G/H)$ by right translation; in many cases where $G$ is a semidirect product, it can also be expressed in terms of covariance for a semigroup action. We use this covariance to characterise the representations of $c_0(G/H)$ which are multiples of the multiplication representation on $\ell^2(G/H)$, and more generally, we prove an imprimitivity theorem for regular representations of certain crossed products by coactions of homogeneous spaces. We thus obtain new criteria for extending unitary representations from $H$ to $G$. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509291 | |
| dc.identifier | http://arxiv.org/abs/math/0509291 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76329 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L55, 20C08 | |
| dc.title | Covariant representations of Hecke algebras and imprimitivity for crossed products by homogeneous spaces | |
| dc.type | text |