arXiv:2305.13955 Abstract | arXiv Analytics

arXiv:2305.13955 [math.FA]Abstract References Reviews Resources

On weak amenability of Fourier algebras

Published 2023-05-23Version 1

For a connected Lie group G it was shown by Lee, Ludwig, Samei and Spronk that its Fourier algebra A(G) is weakly amenable only if G is abelian. We extend this result to general connected locally compact groups, extending an approach developed in special cases by Choi and Ghandehari.

Categories: math.FA, math.GR, math.OA, math.RT

Subjects: 43A30, 22E15, 22D35, 43A80, 46H25, 46J10, 46J40, 47B47

Keywords: fourier algebra, weak amenability, general connected locally compact groups, special cases, connected lie group

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