{ "id": "math/0111226", "version": "v2", "published": "2001-11-20T16:18:29.000Z", "updated": "2002-06-12T22:40:23.000Z", "title": "Connes-amenability and normal, virtual diagonals for measure algebras, I", "authors": [ "Volker Runde" ], "comment": "18 pages; some revisions as suggested by the referee", "journal": "J. London Math. Soc. 67 (2003), 643-656", "categories": [ "math.FA", "math.OA" ], "abstract": "We prove that the measure algebra $M(G)$ of a locally compact group $G$ is Connes-amenable if and only if $G$ is amenable.", "revisions": [ { "version": "v2", "updated": "2002-06-12T22:40:23.000Z" } ], "analyses": { "subjects": [ "22D15", "43A10", "43A20", "43A60", "46E15", "46H25", "46M20", "47B47" ], "keywords": [ "measure algebra", "virtual diagonals", "connes-amenability" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001math.....11226R" } } }