L^2-Betti numbers of universal quantum groups

56 mins 13 secs,  202.90 MB,  iPod Video  480x270,  29.97 fps,  44100 Hz,  492.77 kbits/sec
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Description: Kyed, D (University of Southern Denmark)
Thursday 18th May 2017 - 14:00 to 15:00
 
Created: 2017-05-24 16:03
Collection: Operator algebras: subfactors and their applications
Publisher: Isaac Newton Institute
Copyright: Kyed, D
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: 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.
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