{"paper":{"title":"Crossed products whose primitive ideal spaces are generalized trivial $\\widehat G$-bundles","license":"","headline":"","cross_cats":["math.OA"],"primary_cat":"funct-an","authors_text":"Dana Williams, Siegfried Echterhoff","submitted_at":"1994-10-12T20:48:47Z","abstract_excerpt":"We characterize when the primitive ideal space of a crossed product $\\acg$ of a \\cs-algebra $A$ by a locally compact abelian group $G$ is a $\\sigma$-trivial $\\ghat G$-space for the dual $\\ghat G$-action.  Specifically, we show that $\\Prim(\\acg)$ is $\\sigma$-trivial if and only if the quasi-orbit space is Hausdorff, the map which assigns to each quasi-orbit $\\w$ a certain subgroup $\\ttg(\\alpha^\\w)$ of the Connes spectrum of the system $(A_\\w,G,\\alpha^\\w)$ is continuous, and there is a generalized Green twisting map for $(A,G,\\alpha)$.  Our proof requires a substantial generalization of a theore"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"funct-an/9410003","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}