Weak amenability and semidirect products in simple Lie groups

DOI10.1007/BF01445274zbMath0860.43005WikidataQ115393525 ScholiaQ115393525MaRDI QIDQ2563773

Brian Dorofaeff

Publication date: 21 April 1997

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165477

zbMATH Keywords

Lie algebraLie grouplocally compact groupmultiplierFourier algebra

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Analysis on other specific Lie groups (43A80) Locally compact groups and their algebras (22D99)

Related Items (12)

Strong property (T) for higher-rank simple Lie groups: Figure 1. ⋮ Weak amenability and simply connected Lie groups ⋮ The \(p\)-approximation property for simple Lie groups with finite center ⋮ Approximation properties for noncommutative \(L^p\)-spaces associated with lattices in Lie groups ⋮ Simple Lie groups without the approximation property ⋮ Approximation properties for noncommutative \(L^p\)-spaces of high rank lattices and nonembeddability of expanders ⋮ A Bożejko-Picardello type inequality for finite-dimensional CAT(0) cube complexes ⋮ A family of singular oscillatory integral operators and failure of weak amenability ⋮ The weak Haagerup property ⋮ Simple Lie groups without the Approximation Property II ⋮ Approximation properties and approximate identities of $A_{p}(G)$ ⋮ Weak amenability of Lie groups made discrete

Cites Work

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• Weak amenability of the universal covering group of \(SU(1,n)\)
• Groups acting on trees and approximation properties of the Fourier algebra
• The Fourier algebra of \(SL(2,\mathbb{R})\rtimes\mathbb{R}^ n\), \(n\geq2\), has no multiplier bounded approximate unit
• Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one
• The extensibility of local Lie groups of transformations and groups on surfaces
• Multipliers of the Fourier Algebras of Some Simple Lie Groups and Their Discrete Subgroups
• Weakly Amenable Groups and Amalgamated Products
• Weak Amenability of Right-Angled Coxeter Groups
• L'algèbre de Fourier d'un groupe localement compact
• The Dual Space of Semi-Simple Lie Groups

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