Quantum SU(2) and the Baum-Connes conjecture

preprint2012arXivOpen access

Abstract

We review the formulation and proof of the Baum-Connes conjecture for the dual of the quantum group SUq(2) SU_q(2) of Woronowicz. As an illustration of this result we determine the K K -groups of quantum automorphism groups of simple matrix algebras.

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