Le theoreme de periodicite en K-theorie hermitienne
| dc.creator | Karoubi, Max | |
| dc.date | 2008-10-26 | |
| dc.date.accessioned | 2026-07-07T10:13:20Z | |
| dc.date.available | 2026-07-07T10:13:20Z | |
| dc.description | Bott periodicity plays an important role in topological K-theory. The purpose of this paper is to extend the periodicity theorem in a discrete context, where all classical groups are involved and not just the general linear group. The present paper generalizes previous results of the author [K1] and [K2], where 2 was assumed to be invertible in the rings involved. For the proof, two important ideas have to be mentioned : the first one is due to Ranicki [R] who introduced a kind of "enlarged" orthogonal group ; the second one is a genuine cup-product between quadratic forms due to Clauwens [C]. As an example of results obtained, we prove that the higher Witt groups of a finite field of characteristic 2 are all isomorphic to Z/2. They generalize in some sense the Dickson and Arf invariants. | |
| dc.description | 26 pages written in French | |
| dc.identifier | https://arxiv.org/abs/0810.4707 | |
| dc.identifier | http://arxiv.org/abs/0810.4707 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172493 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 19K99 | |
| dc.title | Le theoreme de periodicite en K-theorie hermitienne | |
| dc.type | text |