L^2-Betti numbers of universal quantum groups

David Kyed (University of Southern Denmark)

Tuesday 11th October, 2016 16:00-17:00 Maths 522


I will report on a joint work with Sven Raum (EPFL) revolving around the computation of L^2-Betti numbers for universal quantum groups. We prove that the first L^2-Betti number of the discrete quantum groups dual to the free unitary quantum groups is one, and that all L^2-Betti numbers vanish for the duals of the quantum automorphism groups of full matrix algebras. All objects mentioned in the abstract will be defined (more or less rigorously) during the talk.

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