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Rigidity results for $L^p$-operator algebras Thiel, Hannes
Description
An $L^p$-operator algebra is a Banach algebra that admits an isometric representation on some $L^p$-space ($p$ not 2). Given such an algebra $A$, we show that it contains a unique maximal sub-C*-algebra, which we call its C*-core. The C*-core is automatically abelian, and its spectrum is naturally equipped with an inverse semigroup of partial homeomorphisms. We call the associated groupoid of germs the Weyl groupoid of $A$.
Item Metadata
| Title |
Rigidity results for $L^p$-operator algebras
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2019-09-10T11:11
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| Description |
An $L^p$-operator algebra is a Banach algebra that admits an isometric representation on some $L^p$-space ($p$ not 2). Given such an algebra $A$, we show that it contains a unique maximal sub-C*-algebra, which we call its C*-core. The C*-core is automatically abelian, and its spectrum is naturally equipped with an inverse semigroup of partial homeomorphisms. We call the associated groupoid of germs the Weyl groupoid of $A$.
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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: University of Münster
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| Series | |
| Date Available |
2020-03-09
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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 |
10.14288/1.0389510
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Postdoctoral
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International