Hopf Algebra Equivariant Cyclic Cohomology, K-theory and Index Formulas
| dc.creator | Neshveyev, Sergey | |
| dc.creator | Tuset, Lars | |
| dc.date | 2003-03-31 | |
| dc.date | 2003-11-17 | |
| dc.date.accessioned | 2026-07-07T04:56:31Z | |
| dc.date.available | 2026-07-07T04:56:31Z | |
| dc.description | For an algebra B with an action of a Hopf algebra H we establish the pairing between even equivariant cyclic cohomology and equivariant K-theory for B. We then extend this formalism to compact quantum group actions and show that equivariant cyclic cohomology is a target space for the equivariant Chern character of equivariant summable Fredholm modules. We prove an analogue of Julg's theorem relating equivariant K-theory to ordinary K-theory of the C*-algebra crossed product, and characterize equivariant vector bundles on quantum homogeneous spaces. | |
| dc.description | LaTeX2e, 16 pages; corrections plus a short discussion of K1 | |
| dc.identifier | https://arxiv.org/abs/math/0304001 | |
| dc.identifier | http://arxiv.org/abs/math/0304001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66950 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Operator Algebras | |
| dc.subject | Quantum Algebra | |
| dc.title | Hopf Algebra Equivariant Cyclic Cohomology, K-theory and Index Formulas | |
| dc.type | text |