Weak amenability of Fourier algebras on compact groups

Details Weak amenability of Fourier algebras on compact groups Weak amenability of Fourier algebras on compact groups

2008-08-13

arxiv.org/abs/0808.1858v1

Mathematics

Functional Analysis

14 pages

Scientific paper

We give for a compact group G, a full characterisation of when its Fourier algebra A(G) is weakly amenable: when the connected component of the identity G_e is abelian. This condition is also equivalent to the hyper-Tauberian property for A(G), and to having the anti-diagonal D^v={(s,s^{-1}):s is in G} being a set of spectral synthesis for A(GXG). We show the relationship between amenability and weak amenability of A(G), and (operator) amenability and (operator) weak amenability of A_D(G), an algebra defined by the authors in arXiv:0705.4277. We close by extending our results to some classes of non-compact, locally compact groups, including small invariant neighbourhood groups and maximally weakly almost periodic groups.

Affiliated with

Also associated with

No associations

Rating

Weak amenability of Fourier algebras on compact groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Weak amenability of Fourier algebras on compact groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weak amenability of Fourier algebras on compact groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-387011