Orbifold index and equivariant K-homology
| dc.creator | Bunke, Ulrich | |
| dc.date | 2007-01-26 | |
| dc.date | 2007-02-27 | |
| dc.date.accessioned | 2026-07-07T07:48:46Z | |
| dc.date.available | 2026-07-07T07:48:46Z | |
| dc.description | We consider a invariant Dirac operator D on a manifold with a proper and cocompact action of a discrete group G. It gives rise to an equivariant K-homology class [D]. We show how the index of the induced orbifold Dirac operator can be calculated from [D] via the assembly map. We further derive a formula for this index in terms of the contributions of finite cyclic subgroups of G. According to results of W. Lueck, the equivariant K-homology can rationally be decomposed as a direct sum of contributions of finite cyclic subgroups of G. Our index formula thus leads to an explicit decomposition of the class [D]. | |
| dc.description | minor correction in Sec.3.3 | |
| dc.identifier | https://arxiv.org/abs/math/0701768 | |
| dc.identifier | http://arxiv.org/abs/math/0701768 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124616 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 58J20 | |
| dc.title | Orbifold index and equivariant K-homology | |
| dc.type | text |