%0 Journal Article %T Connes-amenability and normal, virtual diagonals for measure algebras, II %A Volker Runde %J Mathematics %D 2001 %I arXiv %X We prove that the following are equivalent for a locally compact group $G$: (i) $G$ is amenable; (ii) $M(G)$ is Connes-amenable; (iii) $M(G)$ has a normal, virtual diagonal. %U http://arxiv.org/abs/math/0111227v3