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Subjects
46-XX Functional analysis
46Lxx Selfadjoint operator algebras ( $C^{*}$ -algebras, von Neumann ( $W^{*}$ -) algebras, etc.)
46L80 $K$ -theory and operator algebras (including cyclic theory)

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Quantum SU(2) and the Baum-Connes conjecture

Christian Voigt (2012)

Banach Center Publications

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

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