Almost invariant CND kernels and proper uniformly Lipschitz actions on subspaces of $L^1$
Group Theory
2024-03-25 v5 Functional Analysis
Operator Algebras
Abstract
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 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.
Keywords
Cite
@article{arxiv.2109.12949,
title = {Almost invariant CND kernels and proper uniformly Lipschitz actions on subspaces of $L^1$},
author = {Ignacio Vergara},
journal= {arXiv preprint arXiv:2109.12949},
year = {2024}
}
Comments
Final version. 17 pages. Accepted for publication in Annales de l'Institut Fourier