{"paper":{"title":"Crossed products of operator spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Hamed Nikpey, Massoud Amini, Siegfried Echterhoff","submitted_at":"2015-12-24T10:14:51Z","abstract_excerpt":"Let $V$ be an operator space and $\\iso(V)$ be the group of all completely\nisometric bijective linear mappings on $V$. Let $G$ act on $V$ via a strongly\ncontinuous group homomorphism $\\alpha:G \\to \\iso (V)$. We define the full (and\nreduced) operator space crossed product $V\\rtimes^{\\op}_{\\alpha,(r)}G$ and show\nthat for a $C^*$-algebra with its canonical operator space structure, it\ncoincides with the corresponding $C^*$-algebra crossed product. \n\nUnfortunately, the proof of Theorem 4.3 of the paper contains  a serious  gap, which leads to the withdrawal of the paper."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.07776","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"}