Cyclic homology of crossed products
| dc.creator | Carboni, Graciela | |
| dc.creator | Guccione, Jorge A. | |
| dc.creator | Guccione, Juan J. | |
| dc.date | 2008-05-05 | |
| dc.date.accessioned | 2026-07-07T09:37:06Z | |
| dc.date.available | 2026-07-07T09:37:06Z | |
| dc.description | We obtain a mixed complex, simpler that the canonical one, given the Hochschild, cyclic, negative and periodic homology of a crossed product E=A#fH, where H is an arbitrary Hopf algebra and f is a convolution invertible cocycle with values in A. Actually, we work in the more general context of relative cyclic homology. Specifically, we consider a subalgebra K of A which is stable under the action of H, and we find a mixed complex computing the Hochschild, cyclic, negative and periodic homology of E relative to K. As an application we obtain two spectral sequences converging to the cyclic homology of E relative to K. The first one in the general setting and the second one (which generalizes those previously found by several authors) when f takes its values in K. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/0805.0582 | |
| dc.identifier | http://arxiv.org/abs/0805.0582 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160342 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16E40; 16W30 | |
| dc.title | Cyclic homology of crossed products | |
| dc.type | text |