L^2-Betti numbers of universal quantum groups

Duration: 56 mins 13 secs

Share this media item:

Embed this media item:

<iframe width="_width_" height="_height_" src="https://sms.cam.ac.uk/media/2486228/embed" frameborder="0" scrolling="no" allowfullscreen></iframe>

Choose size:

About this item

Available Formats

About this item

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)


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.

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.

Available Formats

Format	Quality	Bitrate	Size
MPEG-4 Video	640x360	1.91 Mbits/sec	806.90 MB	View	Download
WebM	640x360	1.29 Mbits/sec	546.58 MB	View	Download
iPod Video	480x270	492.77 kbits/sec	202.90 MB	View	Download
MP3	44100 Hz	249.8 kbits/sec	102.94 MB	Listen	Download
Auto *	(Allows browser to choose a format it supports)