Weak amenability and the second dual of the Fourier algebra

Forrest, Brian

doi:10.1090/S0002-9939-97-03844-6

Weak amenability and the second dual of the Fourier algebra
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Proc. Amer. Math. Soc. 125 (1997), 2373-2378 Request permission

Abstract:

Let $G$ be a locally compact group. We will consider amenability and weak amenability for Banach algebras which are quotients of the second dual of the Fourier algebra. In particular, we will show that if $A(G)^{**}$ is weakly amenable, then $G$ has no infinite abelian subgroup.

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