Title	Bounded normal generation and the Bergman property for von Neumann algebras
Creator	Dowerk, Philip
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-06-14T11:31
Description	In this talk I will present joint work with Andreas Thom on bounded normal generation (BNG) for projective unitary groups of von Neumann algebras. We say that a group has (BNG) if the conjugacy class of every nontrivial element and of its inverse generate the whole group in finitely many steps. After explaining how one can prove (BNG) for the projective unitary group of a finite factor, I will present applications to automatic continuity of homomorphisms with SIN target groups. The talk will be closed with recent results on the Bergman property for unitary groups of II_1 factors and countable cofinality for compact connected Lie groups.
Extent	35 minutes
Subject	Mathematics; Topological groups, lie groups; Abstract harmonic analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Katholieke Universiteit Leuven
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-12-12
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0361814
URI	http://hdl.handle.net/2429/63922
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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