Twisting Compact Quantum Groups

This BIMSA Colloquium lecture by Ryszard Nest from the University of Copenhagen explores the theory of twisting compact quantum groups. Delve into the computation of K-theory of group C*-algebra and its significance in group analysis. Learn about the Baum-Connes conjecture and how it relates to torsion subgroups and projective group representations. Discover fundamental concepts of C*-algebraic quantum groups, non-commutative torsion, and the process of twisting quantum groups by cocycles. The presentation covers the quantum version of the Baum-Connes conjecture and presents findings on twisted quantum group C*-algebras, based on collaborative research with Kenny De Commer and Ruben Martos. Professor Nest, an expert in non-commutative geometry with extensive experience in quantum groups, C*-algebraic theory, and mathematical physics, delivers this advanced mathematical exploration that bridges abstract algebra and quantum theory.