L^2-Betti numbers of universal quantum groups

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• David Kyed (University of Southern Denmark )
• Thursday 18 May 2017, 14:00-15:00
• Seminar Room 2, Newton Institute.

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OAS - Operator algebras: subfactors and their applications

I will report on joint works with Julien Bichon, Sven Raum, Matthias Valvekens and Stefaan Vaes, revolving around the computation of L^{2-Betti numbers for universal quantum groups.  Among our main results is the fact that the first L}2-Betti number of the duals of the free unitary quantum groups equals 1, and that all other L^2-Betti numbers vanish.  All objects mentioned in the abstract will be defined, more or less rigorously, during the talk.

This talk is part of the Isaac Newton Institute Seminar Series series.

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