Equivariant spectral triples on the quantum SU(2) group
摘要
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.
引用
@article{arxiv.math/0201004,
title = {Equivariant spectral triples on the quantum SU(2) group},
author = {Partha Sarathi Chakraborty and Arupkumar Pal},
journal= {arXiv preprint arXiv:math/0201004},
year = {2007}
}
备注
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