Weakly Amenable Groups and Amalgamated Products

DOI10.2307/2159531zbMath0780.43002OpenAlexW4239387762MaRDI QIDQ4039304

Marek Bożejko, Massimo A. Picardello

Publication date: 16 January 1994

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2159531

zbMATH Keywords

free productweakly amenableamenable locally compact groups

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Positive definite functions on groups, semigroups, etc. (43A35) Means on groups, semigroups, etc.; amenable groups (43A07) Harmonic analysis on general compact groups (43A77) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (14)

Group measure space decomposition of \(\text{II}_{1}\) factors and \(\text W^{*}\)-superrigidity ⋮ Weak amenability of free products of hyperbolic and amenable groups ⋮ Von Neumann equivalence and 𝑀_{𝑑} type approximation properties ⋮ On the structural theory of \(\mathrm{II}_1\) factors of negatively curved groups. II: Actions by product groups ⋮ Weak amenability of hyperbolic groups ⋮ A Bożejko-Picardello type inequality for finite-dimensional CAT(0) cube complexes ⋮ Weak Amenability of Right-Angled Coxeter Groups ⋮ A family of singular oscillatory integral operators and failure of weak amenability ⋮ Strongly solid group factors which are not interpolated free group factors ⋮ Permanence of approximation properties for discrete quantum groups ⋮ On twisted Fourier analysis and convergence of Fourier series on discrete groups ⋮ Free products and the lack of state-preserving approximations of nuclear $C^*$-algebras ⋮ Weak amenability and semidirect products in simple Lie groups ⋮ \(\mathrm{W}^\ast\)-superrigidity for arbitrary actions of central quotients of braid groups

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