Title	Tutorial on von Neumann algebras
Creator	Ioana, Adrian
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-11-26T10:30
Description	In the first lecture, I will review basic notions and constructions of von Neumann algebras. The second lecture will be devoted to property Gamma and McDuffâ s property for II_1 factors. In the third lecture, I will discuss the isomorphism problem for ultrapowers of II_1 factors. ========== Lecture 1: Define vN algebras and state the bicommutant theorem. Introduce tracial vN algebras and the hyperfinite II_1 factor. Group and group measure space vN algebras. Lecture 2: Define property Gamma and discuss the connection with inner amenability of groups. Define McDuffâ s property. Examples of II_1 factors that are Gamma but not McDuff. Lecture 3: The ultrapower construction for tracial vN algebras. Discuss dependence on the choice of the ultrafilter and examples of II_1 factors with non-isomorphic ultrapowers.
Extent	59.0 minutes
Subject	Mathematics; Operator theory; Mathematical logic and foundations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of California San Diego
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-12-09
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0395190
URI	http://hdl.handle.net/2429/76707
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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Tutorial on von Neumann algebras Ioana, Adrian

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