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Some rigidity aspects in von Neumann algebras and C*-algebras arising from groups Chifan, Ionut
Description
In the first part of my talk I will discuss the problems of reconstructing a countable discrete group from its von Neumann algebra (W*-superrigidity) and its reduced C*-algebra (C*-superrigidity) and I will survey several recent results in this direction. In the second part, using and interplay between von Neumann algebraic and C*-algebraic methods, I will introduce a new class of C*-superrigid groups which appear as wreath products with non-amenable core. As an application we obtain complete calculations of the symmetry groups of various group C*-algebras---a problem barely touched in the literature. This is based on a recent joint work with Alec Diaz-Arias.
Item Metadata
Title |
Some rigidity aspects in von Neumann algebras and C*-algebras arising from groups
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-10-03T13:31
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Description |
In the first part of my talk I will discuss the problems of reconstructing a countable discrete group from its von Neumann algebra (W*-superrigidity) and its reduced C*-algebra (C*-superrigidity) and I will survey several recent results in this direction.
In the second part, using and interplay between von Neumann algebraic and C*-algebraic methods, I will introduce a new class of C*-superrigid groups which appear as wreath products with non-amenable core. As an application we obtain complete calculations of the symmetry groups of various group C*-algebras---a problem barely touched in the literature. This is based on a recent joint work with Alec Diaz-Arias.
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Extent |
56.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Iowa
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Series | |
Date Available |
2020-04-01
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0389703
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Researcher
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International