Matrix invariants of Spectral categories
| dc.creator | Tabuada, Goncalo | |
| dc.date | 2009-02-23 | |
| dc.date | 2009-04-14 | |
| dc.date.accessioned | 2026-07-07T13:03:13Z | |
| dc.date.available | 2026-07-07T13:03:13Z | |
| dc.description | In this paper we pursue the study of spectral categories initiated in [26]. More precisely, we construct the Universal matrix invariant of spectral categories, i.e. a functor U with values in an additive category Add, which inverts the Morita equivalences, satisfies matrix invariance, and is universal with respect to these two properties. For example, the algebraic K-theory and the topological Hochschild and cyclic homologies are matrix invariants, and so they factor uniquely throw U. As an application, we obtain for free non-trivial trace maps from the Grothendieck group to the topological Hochschild homology ones. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/0902.3888 | |
| dc.identifier | http://arxiv.org/abs/0902.3888 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226718 | |
| dc.subject | Algebraic Topology | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 55P43; 18D20; 19D55 | |
| dc.title | Matrix invariants of Spectral categories | |
| dc.type | text |