English

On weak amenability of Fourier algebras

Functional Analysis 2023-05-24 v1 Group Theory Operator Algebras Representation Theory

Abstract

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.

Keywords

Cite

@article{arxiv.2305.13955,
  title  = {On weak amenability of Fourier algebras},
  author = {Viktor Losert},
  journal= {arXiv preprint arXiv:2305.13955},
  year   = {2023}
}