A descent theorem in topological K-theory
| dc.creator | Karoubi, Max | |
| dc.date | 2005-09-18 | |
| dc.date.accessioned | 2026-07-07T06:18:09Z | |
| dc.date.available | 2026-07-07T06:18:09Z | |
| dc.description | Let A be a Banach algebra and A' its complexification. In this paper we show that the homotopy fixed point set of K(A'), the topological K-theory space of A', under complex conjugation is just K(A), the topological K-theory space of A. This result generalizes the well known fact that BO is BU^hZ/2. The proof uses in an essential way Atiyah's KR theory and the Clifford algebra definition of higher K-groups. | |
| dc.description | 5 pages ; see also http://www.math.jussieu.fr/~karoubi/ | |
| dc.identifier | https://arxiv.org/abs/math/0509396 | |
| dc.identifier | http://arxiv.org/abs/math/0509396 | |
| dc.identifier | K-theory 24, p. 109-114 (2001) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94640 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Operator Algebras | |
| dc.title | A descent theorem in topological K-theory | |
| dc.type | text |