A Local Index Formula for the Quantum Sphere
| dc.creator | Neshveyev, Sergey | |
| dc.creator | Tuset, Lars | |
| dc.date | 2003-09-17 | |
| dc.date | 2003-11-17 | |
| dc.date.accessioned | 2026-07-07T05:01:12Z | |
| dc.date.available | 2026-07-07T05:01:12Z | |
| dc.description | For the Dirac operator D on the standard quantum sphere we obtain an asymptotic expansion of the SU_q(2)-equivariant entire cyclic cocycle corresponding to εD when evaluated on the element k^2\in U_q(su_2). The constant term of this expansion is a twisted cyclic cocycle which up to a scalar coincides with the volume form and computes the quantum as well as the classical Fredholm indices. | |
| dc.description | 17 pages; minor corrections, references added | |
| dc.identifier | https://arxiv.org/abs/math/0309275 | |
| dc.identifier | http://arxiv.org/abs/math/0309275 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68589 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Operator Algebras | |
| dc.title | A Local Index Formula for the Quantum Sphere | |
| dc.type | text |