{ "id": "math/0111227", "version": "v3", "published": "2001-11-20T16:21:14.000Z", "updated": "2003-07-25T15:44:53.000Z", "title": "Connes-amenability and normal, virtual diagonals for measure algebras, II", "authors": [ "Volker Runde" ], "comment": "5 pages; some more typos fixed", "journal": "Bull. Austral. Math. Soc. 68 (2003), 325-328", "categories": [ "math.FA", "math.OA" ], "abstract": "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.", "revisions": [ { "version": "v3", "updated": "2003-07-25T15:44:53.000Z" } ], "analyses": { "subjects": [ "22D15", "43A10", "43A20", "43A60", "46E15", "46H25", "46M20", "47B47" ], "keywords": [ "virtual diagonal", "measure algebras", "connes-amenability" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001math.....11227R" } } }