Operator amenability of Fourier-Stieltjes algebras, II

Details Operator amenability of Fourier-Stieltjes algebras, II Operator amenability of Fourier-Stieltjes algebras, II

2005-07-18

arxiv.org/abs/math/0507373v3

Bull. London Math. Soc. 39 (2007), 194-202

Mathematics

Functional Analysis

12 pages; AMSLaTeX; references updated & some typos caught

Scientific paper

We give an example of a non-compact, locally compact group $G$ such that its
Fourier-Stieltjes algebra $B(G)$ is operator amenable. Furthermore, we
characterize those $G$ for which $A^*(G)$ - the spine of $B(G)$ as introduced
by M. Ilie and the second named author - is operator amenable and show that
$A^*(G)$ is operator weakly amenable for each $G$.

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