Weak amenability of the universal covering group of \(SU(1,n)\)

DOI10.1007/BF01444541zbMath0693.43004MaRDI QIDQ908468

Mogens Lemvig Hansen

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/164743

zbMATH Keywords

spherical functionsrepresentationsuniversal covering groupFourier algebraweakly amenableconnected, simple, real rank one Lie groups

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Semisimple Lie groups and their representations (22E46) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Harmonic analysis and spherical functions (43A90) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items

On connected Lie groups and the approximation property ⋮ Weak amenability and simply connected Lie groups ⋮ Approximation properties for noncommutative \(L^p\)-spaces associated with lattices in Lie groups ⋮ Simple Lie groups without the approximation property ⋮ On the Burns-Epstein invariants of spherical CR 3-manifolds ⋮ A family of singular oscillatory integral operators and failure of weak amenability ⋮ The weak Haagerup property ⋮ Simple Lie groups without the Approximation Property II ⋮ Weak amenability of Lie groups made discrete ⋮ Correspondences and Approximation Properties for von Neumann Algebras ⋮ Weak amenability and semidirect products in simple Lie groups

Cites Work

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• Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one
• Multipliers of the Fourier Algebras of Some Simple Lie Groups and Their Discrete Subgroups
• Spherical Functions on a Simply Connected Semisimple Lie Group