The amenability constant of the Fourier algebra

Details The amenability constant of the Fourier algebra The amenability constant of the Fourier algebra

2004-09-23

arxiv.org/abs/math/0409454v3

Proc. Amer. Math. Soc. 134 (2006), 1473-1481

Mathematics

Functional Analysis

LaTeX2e; 11 pages; some more minor revisions

Scientific paper

For a locally compact group $G$, let $A(G)$ denote its Fourier algebra and
$\hat{G}$ its dual object, i.e. the collection of equivalence classes of
unitary represenations of $G$. We show that the amenability constant of $A(G)$
is less than or equal to $\sup \{\deg(\pi) : \pi \in \hat{G} \}$ and that it is
equal to one if and only if $G$ is abelian.

Affiliated with

Also associated with

No associations

Rating

The amenability constant of the Fourier algebra 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 The amenability constant of the Fourier algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The amenability constant of the Fourier algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-77837