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Symmetry and complex structure in C*-algebras Blackadar, Bruce
Description
A C*-algebra is symmetric if it is isomorphic to its opposite algebra, or equivalently if it has a conjugate-linear automorphism. Not all nuclear C*-algebras, not even all homogeneous C*-algebras, are symmetric, but all currently classifiable ones are. A sufficiently nonsymmetric C*-algebra (one not KK-equivalent to its opposite algebra) would even be a counterexample to the UCT. A better understanding of symmetry will be needed to extend classification beyond its current limits, especially to nonsimple C*-algebras. I will discuss some aspects of symmetry and th rigidity of complex structure in C*-algebras, with some examples. The talk will be rather speculative, with more questions than answers.
Item Metadata
Title |
Symmetry and complex structure in C*-algebras
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-09-06T11:01
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Description |
A C*-algebra is symmetric if it is isomorphic to its opposite algebra, or equivalently if it has a conjugate-linear automorphism. Not all nuclear C*-algebras, not even all homogeneous C*-algebras, are symmetric, but all currently classifiable ones are. A sufficiently nonsymmetric C*-algebra (one not KK-equivalent to its opposite algebra) would even be a counterexample to the UCT. A better understanding of symmetry will be needed to extend classification beyond its current limits, especially to nonsimple C*-algebras. I will discuss some aspects of symmetry and th rigidity of complex structure in C*-algebras, with some examples. The talk will be rather speculative, with more questions than answers.
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Extent |
34 minutes
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Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Nevada at Reno
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Series | |
Date Available |
2018-04-04
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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 |
10.14288/1.0364655
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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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