A generalization of the topological Brauer group
| dc.creator | Ershov, A. V. | |
| dc.date | 2003-01-16 | |
| dc.date | 2005-11-18 | |
| dc.date.accessioned | 2026-07-07T06:35:34Z | |
| dc.date.available | 2026-07-07T06:35:34Z | |
| dc.description | In the present paper we study some homotopy invariants which can be defined by means of bundles with fiber a matrix algebra. We also introduce some generalization of the Brauer group in the topological context and show that any its element can be represented as a locally trivial bundle with a group of invertible operators in a Hilbert space as the structure group. Finally, we discuss its possible applications in the twisted $K$-theory. | |
| dc.description | 34 pages. v5: The part concerning the generalized Brauer group has been completely rewritten. An application to twisted $K$-theory is added | |
| dc.identifier | https://arxiv.org/abs/math/0301180 | |
| dc.identifier | http://arxiv.org/abs/math/0301180 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99832 | |
| dc.subject | Algebraic Topology | |
| dc.subject | K-Theory and Homology | |
| dc.title | A generalization of the topological Brauer group | |
| dc.type | text |