{"paper":{"title":"Deformation of operator algebras by Borel cocycles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.OA","authors_text":"Amandip Sangha, Jyotishman Bhowmick, Sergey Neshveyev","submitted_at":"2012-07-11T08:21:36Z","abstract_excerpt":"Assume that we are given a coaction \\delta of a locally compact group G on a C*-algebra A and a T-valued Borel 2-cocycle \\omega on G. Motivated by the approach of Kasprzak to Rieffel's deformation we define a deformation A_\\omega of A. Among other properties of A_\\omega we show that A_\\omega\\otimes K(L^2(G)) is canonically isomorphic to A\\rtimes_\\delta\\hat G\\rtimes_{\\hat\\delta,\\omega}G. This, together with a slight extension of a result of Echterhoff et al., implies that for groups satisfying the Baum-Connes conjecture the K-theory of A_\\omega remains invariant under homotopies of omega."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.2560","kind":"arxiv","version":2},"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"}