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arxiv: math/0111227 · v3 · pith:AKOWJTCMnew · submitted 2001-11-20 · 🧮 math.FA · math.OA

Connes-amenability and normal, virtual diagonals for measure algebras, II

classification 🧮 math.FA math.OA
keywords normalvirtualalgebrasamenablecompactconnes-amenabilityconnes-amenablediagonal
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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.

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