Hyperbolicity and uniformly Lipschitz affine actions on subspaces of L1$L^1$

DOI10.1112/blms.12873arXiv2207.14691OpenAlexW4380154285MaRDI QIDQ6064913

Ignacio Vergara

Publication date: 11 December 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.14691

zbMATH Keywords

hyperbolic groupsaffine actionsquasi-treessubspaces of L1

Mathematics Subject Classification ID

Hyperbolic groups and nonpositively curved groups (20F67) Other representations of locally compact groups (22D12) Kazhdan's property (T), the Haagerup property, and generalizations (22D55)

Cites Work

• Kazhdan and Haagerup properties from the median viewpoint.
• Geometric group theory. An introduction
• Proper actions on finite products of quasi-trees
• Acylindrical group actions on quasi-trees
• Hyperbolic groups admit proper affine isometric actions on \(l^p\)-spaces
• Acylindrical hyperbolicity of groups acting on trees
• Acylindrically hyperbolic groups
• Infinitely presented graphical small cancellation groups are acylindrically hyperbolic
• GROUPS ACTING ACYLINDRICALLY ON HYPERBOLIC SPACES
• Straightening and bounded cohomology of hyperbolic groups