{ "id": "0807.4270", "version": "v2", "published": "2008-07-27T03:29:06.000Z", "updated": "2008-07-29T13:57:30.000Z", "title": "On a class of II_1 factors with at most one Cartan subalgebra II", "authors": [ "Narutaka Ozawa", "Sorin Popa" ], "comment": "24 pages, continuation of arXiv:0706.3623", "categories": [ "math.OA" ], "abstract": "This is a continuation of our previous paper studying the structure of Cartan subalgebras of von Neumann factors of type II_1. We provide more examples of II_1 factors having either zero, one or several Cartan subalgebras. We also prove a rigidity result for some group measure space II_1 factors.", "revisions": [ { "version": "v2", "updated": "2008-07-29T13:57:30.000Z" } ], "analyses": { "subjects": [ "46L10", "37A20" ], "keywords": [ "cartan subalgebra", "group measure space", "von neumann factors", "rigidity result", "continuation" ], "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0807.4270O" } } }