Proper actions of lamplighter groups associated with free groups

DOI10.1016/j.crma.2007.11.027zbMath1132.43001arXiv0707.2039OpenAlexW2057768287MaRDI QIDQ2472982

Yves De Cornulier, Alain Valette, Yves Stalder

Publication date: 25 February 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.2039

Mathematics Subject Classification ID

Positive definite functions on groups, semigroups, etc. (43A35) Means on groups, semigroups, etc.; amenable groups (43A07) Other representations of locally compact groups (22D12)

Related Items (18)

Proper actions of wreath products and generalizations ⋮ Fourier theory and \(C^\ast\)-algebras ⋮ Groups acting on trees with almost prescribed local action ⋮ A note on torsion subgroups of groups acting on finite-dimensional CAT(0) cube complexes ⋮ A non-trivial example of a free-by-free group with the Haagerup property. ⋮ Stochastic approximation of lamplighter metrics ⋮ One-cohomology and the uniqueness of the group measure space decomposition of a II\(_{1}\) factor ⋮ Amenable groups with very poor compression into Lebesgue spaces ⋮ Semigroups of Herz-Schur multipliers ⋮ \(L_p\) compression, traveling salesmen, and stable walks. ⋮ Weak amenability of CAT(0)-cubical groups ⋮ On a class of II\(_1\) factors with at most one Cartan subalgebra ⋮ The weak Haagerup property ⋮ Kazhdan and Haagerup properties from the median viewpoint. ⋮ Weak amenability of Lie groups made discrete ⋮ LOCALLY COMPACT WREATH PRODUCTS ⋮ On equivariant embeddings of generalized Baumslag-Solitar groups. ⋮ Permanence properties of verbal products and verbal wreath products of groups

Cites Work

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• Weak amenability of CAT(0)-cubical groups
• On a class of II\(_1\) factors with at most one Cartan subalgebra
• Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one
• Cubulating spaces with walls.
• FROM WALL SPACES TO CAT(0) CUBE COMPLEXES
• Groups with the Haagerup property. Gromov's a-T-menability

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