Some Fréchet algebras for which the Chern character is an isomorphism
| dc.creator | Solleveld, Maarten | |
| dc.date | 2005-05-13 | |
| dc.date | 2008-09-29 | |
| dc.date.accessioned | 2026-07-07T10:05:51Z | |
| dc.date.available | 2026-07-07T10:05:51Z | |
| dc.description | Using similarities between topological $K$-theory and periodic cyclic homology we show that, after tensoring with $\mathbb C$, for certain Fréchet algebras the Chern character provides an isomorphism between these functors. This is applied to prove that the Hecke algebra and the Schwartz algebra of a reductive $p$-adic group have isomorphic periodic cyclic homology. The main theorem in the first version was incorrect for algebras related to noncompact manifolds. This has no effect on the results concerning p-adic groups. In the appendix we show that an analogous cohomological result does hold in the noncompact case. | |
| dc.description | 17 pages, in the third version an appendix was added | |
| dc.identifier | https://arxiv.org/abs/math/0505282 | |
| dc.identifier | http://arxiv.org/abs/math/0505282 | |
| dc.identifier | K-Theory 36 (2005), 275--290 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170133 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 19D55, 19L10, 22E50, 46L80 | |
| dc.title | Some Fréchet algebras for which the Chern character is an isomorphism | |
| dc.type | text |