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https://hdl.handle.net/2440/46219
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Type: | Journal article |
Title: | Equivariant spectral triples on the quantum SU(2) group |
Author: | Chakraborty, Partha Sarathi Pal, Arupkumar |
Citation: | K-Theory, 2003; 28 (2):107-126 |
Publisher: | Kluwer |
Issue Date: | 2003 |
ISSN: | 0920-3036 |
School/Discipline: | School of Mathematical Sciences |
Statement of Responsibility: | Partha Sarathi Chakraborty and Arupkumar Pal |
Abstract: | 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 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 L 2-space. |
Keywords: | spectral triples; quantum group |
Description: | The original publication can be found at www.springerlink.com |
DOI: | 10.1023/A:1024571719032 |
Appears in Collections: | Mathematical Sciences publications |
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