On the Baum-Connes conjecture for discrete quantum groups with torsion and the quantum Rosenberg Conjecture

Abstract: We give a decomposition of the equivariant Kasparov category for a discrete quantum group with torsions. This formulates the Baum-Connes assembly map for general discrete quantum groups possibly with torsion. As an application, we show that the group C*-algebra of a discrete quantum group in a certain class satisfies the UCT.

operator algebrasquantum algebra

Audience: researchers in the topic

Quantum Groups Seminar [QGS]

Series comments: This seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.

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