Equivariant spectral triples on the quantum SU(2) group
| dc.creator | Chakraborty, Partha Sarathi | |
| dc.creator | Pal, Arupkumar | |
| dc.date | 2002-01-01 | |
| dc.date | 2002-10-03 | |
| dc.date.accessioned | 2026-07-07T04:45:37Z | |
| dc.date.available | 2026-07-07T04:45:37Z | |
| dc.description | We characterize all equivariant odd spectral triples for the quantum SU(2) group acting on its L_2-space and having a nontrivial Chern character. It is shown that the dimension of an equivariant spectral triple is at least three, and given any element of the K-homology group of SU_q(2), there is an equivariant odd spectral triple of dimension 3 inducing that element. The method employed to get equivariant spectral triples in the quantum case is then used for classical SU(2), and we prove that for p<4, there does not exist any equivariant spectral triple with nontrivial K-homology class and dimension p acting on the L_2-space. | |
| dc.description | LaTeX2e, 19 pages; v3:some results added in existing sections, one new section on classical SU(2) added, two references added; v2:some typos and one error corrected | |
| dc.identifier | https://arxiv.org/abs/math/0201004 | |
| dc.identifier | http://arxiv.org/abs/math/0201004 | |
| dc.identifier | K-Theory, 28(2003), No. 2, 107-126. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63021 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Operator Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 46L87, 19K33, 81R50 | |
| dc.title | Equivariant spectral triples on the quantum SU(2) group | |
| dc.type | text |