Title	Ultraproduct embeddings and amenability for tracial von Neumann algebras
Creator	Atkinson, Scott
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-10-04T10:30
Description	The separably acting hyperfinite/amenable II$_1$-factor $R$ has the property that any two embeddings into its own ultrapower are unitarily conjugate. Jung showed in 2009 that the converse holds modulo the Connes Embedding Problem. In this talk we will discuss the recent result that amenability for tracial von Neumann algebras satisfying the Connes Embedding Problem is characterized by the weaker property that any two embeddings into an ultrapower of R are conjugate by unital completely positive maps. Time permitting, we will discuss other recent characterizations of amenability within this context. This is based on joint work with Srivatsav Kunnawalkam Elayavalli.
Extent	27.0 minutes
Subject	Mathematics; Functional analysis; Dynamical systems and ergodic theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of California Riverside
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-04-02
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0389720
URI	http://hdl.handle.net/2429/73891
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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Ultraproduct embeddings and amenability for tracial von Neumann algebras Atkinson, Scott

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