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The stable uniqueness theorem for equivariant Kasparov theory Szabo, Gabor
Description
It can be argued that the Lin-Dadarlat-Eilers stable uniqueness theorem is one of the main driving forces behind several recent landmark results related to the classification program for nuclear C*-algebras. In a nutshell, the theorem strengthens the Cuntz picture of bivariant K-theory, and translates a KK-theoretic assumption into a rather strong statement involving (stable) asymptotic unitary equivalence of *-homomorphisms, which becomes immensely useful for extracting the role of K-theory in classification. In this talk I will present a generalization of the stable uniqueness theorem to the setting of C*-dynamical systems over a given locally compact group. I will also explain why this should be expected to be important in the context of classifying C*-dynamics up to cocycle conjugacy. This is joint work with James Gabe.
Item Metadata
Title |
The stable uniqueness theorem for equivariant Kasparov theory
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-09-09T09:01
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Description |
It can be argued that the Lin-Dadarlat-Eilers stable uniqueness theorem is one of the main driving forces behind several recent landmark results related to the classification program for nuclear C*-algebras. In a nutshell, the theorem strengthens the Cuntz picture of bivariant K-theory, and translates a KK-theoretic assumption into a rather strong statement involving (stable) asymptotic unitary equivalence of *-homomorphisms, which becomes immensely useful for extracting the role of K-theory in classification. In this talk I will present a generalization of the stable uniqueness theorem to the setting of C*-dynamical systems over a given locally compact group. I will also explain why this should be expected to be important in the context of classifying C*-dynamics up to cocycle conjugacy. This is joint work with James Gabe.
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Extent |
50.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: KU Leuven
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Series | |
Date Available |
2020-03-08
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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 |
10.14288/1.0389498
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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 Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International