Non-Hausdorff groupoids, proper actions and K-theory
| dc.creator | Tu, Jean-Louis | |
| dc.date | 2004-03-03 | |
| dc.date | 2004-09-13 | |
| dc.date.accessioned | 2026-07-07T05:05:54Z | |
| dc.date.available | 2026-07-07T05:05:54Z | |
| dc.description | Let G be a (not necessarily Hausdorff) locally compact groupoid. We introduce a notion of properness for G, which is invariant under Morita-equivalence. We show that any generalized morphism between two locally compact groupoids which satisfies some properness conditions induces a C*-correspondence from $C*_r(G_1)$ to $C^*_r(G_2)$, and thus two Morita equivalent groupoids have Morita-equivalent $C^*$-algebras. | |
| dc.description | 32 pages; short version; bibliographic references added | |
| dc.identifier | https://arxiv.org/abs/math/0403071 | |
| dc.identifier | http://arxiv.org/abs/math/0403071 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70345 | |
| dc.subject | Operator Algebras | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 22A22 (Primary) 46L05, 46L80, 54D35 (Secondary) | |
| dc.title | Non-Hausdorff groupoids, proper actions and K-theory | |
| dc.type | text |