Quantum SU(2) and the Baum-Connes conjecture
Abstract
We review the formulation and proof of the Baum-Connes conjecture for the dual of the quantum group $ SU_q(2) $ of Woronowicz. As an illustration of this result we determine the $ K $-groups of quantum automorphism groups of simple matrix algebras.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2012
- DOI:
- arXiv:
- arXiv:1212.2351
- Bibcode:
- 2012arXiv1212.2351V
- Keywords:
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- Mathematics - K-Theory and Homology;
- Mathematics - Quantum Algebra
- E-Print:
- 14 pages, contribution to the Proceedings of the Conference in Honour of the seventieth birthday of S. L. Woronowicz