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Weak Amenability and the Second Dual of the Fourier Algebra
Proceedings of the American Mathematical Society
Vol. 125, No. 8 (Aug., 1997), pp. 2373-2378
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2162130
Page Count: 6
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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.
Proceedings of the American Mathematical Society © 1997 American Mathematical Society