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Generalized free wreath products. Abstract: Fima, Pierre
Description
I will talk about a joint work with Arthur Troupel. We develop a new approach on free wreath products, generalizing most of the previous constructions. We show stability properties for certain approximation properties such as exactness, Haagerup property, hyperlinearity and K-amenability. We study qualitative properties of the associated von Neumann algebra: factoriality, primeness and absence of Cartan subalgebra and we give a formula for Connes’ T-invariant. Finally, we give some explicit computations of K-theory groups for C*-algebras of generalized free wreath products.
Item Metadata
| Title |
Generalized free wreath products. Abstract:
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2025-12-04
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| Description |
I will talk about a joint work with Arthur Troupel. We develop a new approach on free wreath products, generalizing most of the previous constructions. We show stability properties for certain approximation properties such as exactness, Haagerup property, hyperlinearity and K-amenability. We study qualitative properties of the associated von Neumann algebra: factoriality, primeness and absence of Cartan subalgebra and we give a formula for Connes’ T-invariant. Finally, we give some explicit computations of K-theory groups for C*-algebras of generalized free wreath products.
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| Extent |
22.0 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 Paris City
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| Series | |
| Date Available |
2025-12-08
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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 |
10.14288/1.0450956
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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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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International