Connes-amenability of Fourier--Stieltjes algebras
  Let $G$ be a locally compact group, and let $B(G)$ denote its Fourier--Stieltjes algebra. We show that $B(G)$ is Connes-amenable if and only if $G$ is almost abelian. 
Volker Runde, Faruk Uygul
math.FA