Almost invariant CND kernels and proper uniformly Lipschitz actions on subspaces of $L^1$
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866913277084172288 |
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| author | Vergara, Ignacio |
| author_facet | Vergara, Ignacio |
| contents | We define the notion of almost invariant conditionally negative definite kernel and use it to give a characterisation of groups admitting a proper uniformly Lipschitz affine action on a subspace of an $L^1$ space. We show that this condition is satisfied by groups acting properly on products of quasi-trees, weakly amenable groups with Cowling-Haagerup constant 1, and a-TTT-menable groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_12949 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Almost invariant CND kernels and proper uniformly Lipschitz actions on subspaces of $L^1$ Vergara, Ignacio Group Theory Functional Analysis Operator Algebras We define the notion of almost invariant conditionally negative definite kernel and use it to give a characterisation of groups admitting a proper uniformly Lipschitz affine action on a subspace of an $L^1$ space. We show that this condition is satisfied by groups acting properly on products of quasi-trees, weakly amenable groups with Cowling-Haagerup constant 1, and a-TTT-menable groups. |
| title | Almost invariant CND kernels and proper uniformly Lipschitz actions on subspaces of $L^1$ |
| topic | Group Theory Functional Analysis Operator Algebras |
| url | https://arxiv.org/abs/2109.12949 |