Proper actions on imprimitivity bimodules and decompositions of Morita equivalences
| dc.creator | Huef, Astrid an | |
| dc.creator | Raeburn, Iain | |
| dc.creator | Williams, Dana P. | |
| dc.date | 2001-06-29 | |
| dc.date.accessioned | 2026-07-07T04:42:24Z | |
| dc.date.available | 2026-07-07T04:42:24Z | |
| dc.description | We consider a class of proper actions of locally compact groups on imprimitivity bimodules over C*-algebras which behave like the proper actions on C*-algebras introduced by Rieffel in 1988. We prove that every such action gives rise to a Morita equivalence between a crossed product and a generalized fixed-point algebra, and in doing so make several innovations which improve the applicability of Rieffel's theory. We then show how our construction can be used to obtain canonical tensor-product decompositions of important Morita equivalences. Our results show, for example, that the different proofs of the symmetric imprimitivity theorem for actions on induced algebras yield isomorphic equivalences. A similar analysis of the symmetric imprimitivity theorem for graph algebras gives new information about the amenability of actions on graph algebras. | |
| dc.description | 36 pages | |
| dc.identifier | https://arxiv.org/abs/math/0106265 | |
| dc.identifier | http://arxiv.org/abs/math/0106265 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61767 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05, 46L55 | |
| dc.title | Proper actions on imprimitivity bimodules and decompositions of Morita equivalences | |
| dc.type | text |