Title	von Neumann algebras of certain groups with vanishing first Betti number
Creator	Shlyakhtenko, Dimitri
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-12-08T09:01
Description	We show that the von Neumann algebra of a finitely generated finitely presented sofic group is strongly 1-bounded in the sense of Jung. As a corollary we obtain that such a von Neumann algebra cannot be written as a non-trivial free product and in particular cannot be a free group factor.
Extent	50 minutes
Subject	Mathematics; Functional analysis; Probability theory and stochastic processes; Operator theory/algebras
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of California, Los Angeles
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-05-15
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0347464
URI	http://hdl.handle.net/2429/61633
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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