{ "id": "math/0412451", "version": "v3", "published": "2004-12-22T13:00:29.000Z", "updated": "2004-12-31T11:16:48.000Z", "title": "Crossed products by endomorphisms, vector bundles and group duality, II", "authors": [ "Ezio Vasselli" ], "comment": "33 pages, uses xy.sty; the sequel of math.OA/0301214 v4", "journal": "Int.J.Math.17 (2006) 65-96", "doi": "10.1142/S0129167X06003321", "categories": [ "math.OA" ], "abstract": "We study C*-algebra endomorphims which are special in a weaker sense w.r.t. the notion introduced by Doplicher and Roberts. We assign to such endomorphisms a geometrical invariant, representing a cohomological obstruction for them to be special in the usual sense. Moreover, we construct the crossed product of a C*-algebra by the action of the dual of a (nonabelian, noncompact) group of vector bundle automorphisms. These crossed products supply a class of examples for such generalized special endomorphisms.", "revisions": [ { "version": "v3", "updated": "2004-12-31T11:16:48.000Z" } ], "analyses": { "subjects": [ "46L05", "46L08", "22D35" ], "keywords": [ "crossed product", "group duality", "vector bundle automorphisms", "generalized special endomorphisms", "weaker sense" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 33, "language": "en", "license": "arXiv", "status": "editable", "inspire": 679638, "adsabs": "2004math.....12451V" } } }