Generalized free wreath products and their operator algebras
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916669591388160 |
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| author | Fima, Pierre Troupel, Arthur |
| author_facet | Fima, Pierre Troupel, Arthur |
| contents | We develop a new approach on free wreath products, generalizing the constructions of Bichon and of Fima-Pittau. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00596 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized free wreath products and their operator algebras Fima, Pierre Troupel, Arthur Operator Algebras K-Theory and Homology Quantum Algebra We develop a new approach on free wreath products, generalizing the constructions of Bichon and of Fima-Pittau. 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. |
| title | Generalized free wreath products and their operator algebras |
| topic | Operator Algebras K-Theory and Homology Quantum Algebra |
| url | https://arxiv.org/abs/2504.00596 |