Operator weak amenability of the Fourier algebra

DOI10.1090/S0002-9939-02-06680-7zbMath1006.46040MaRDI QIDQ4547035

Nico Spronk

Publication date: 20 August 2002

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

zbMATH Keywords

operator spacederivationFourier algebraweakly amenable Banach algebracomplete contractionscompletely contractive \({\mathcal A}\)-module

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Means on groups, semigroups, etc.; amenable groups (43A07)

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Operator biflatness of the Fourier algebra and approximate indicators for subgroups, Hyper-Tauberian algebras and weak amenability of Figà-Talamanca-Herz algebras, Operator amenability of Fourier-Stieltjes algebras, II, Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko's conjecture, On the subalgebra of a Fourier-Stieltjes algebra generated by pure positive definite functions, On the operator homology of the Fourier algebra and its \(cb\)-multiplier completion, \(L^p\)-Fourier and Fourier-Stieltjes algebras for locally compact groups, Projective operator spaces, almost periodicity and completely complemented ideals in the Fourier algebra, Beurling-Fourier algebras, operator amenability and Arens regularity, \(p\)-Fourier algebras on compact groups, Continuity conditions for finite-dimensional locally bounded representations of connected locally compact groups, Completely isometric representations of $M_{cb}A(G)$ and $UCB(\hat G)^*$, The similarity problem for Fourier algebras and corepresentations of group von Neumann algebras, Constructing alternating 2-cocycles on Fourier algebras, On operator amenability of Fourier-Stieltjes algebras, Weak amenability of Fourier algebras and local synthesis of the anti-diagonal, Operator space structure and amenability for Figà--Talamanca--Herz algebras, Completely bounded homomorphisms of the Fourier algebras, Applications of operator spaces to abstract harmonic analysis., Amenability and weak amenability of the Fourier algebra

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