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Equivariant spectral triples on the quantum SU(2) group”, K-Theory 28 (2003)
| Citations: | 60 - 7 self |
BibTeX
@MISC{Chakraborty03equivariantspectral,
author = {Partha Sarathi Chakraborty and Arupkumar Pal},
title = {Equivariant spectral triples on the quantum SU(2) group”, K-Theory 28},
year = {2003}
}
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Abstract
We characterize all equivariant odd spectral triples for the quantum SU(2) group acting on its L2-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 SUq(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 L2-space.
