{"paper":{"title":"Semicrossed Products and Reflexivity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Evgenios T.A. Kakariadis","submitted_at":"2009-07-30T11:58:50Z","abstract_excerpt":"Given a w*-closed unital algebra $A$ acting on $H_0$ and a contractive w*-continuous endomorphism $\\beta$ of $A$, there is a w*-closed (non-selfadjoint) unital algebra $\\mathbb{Z}_+\\bar{\\times}_\\beta A$ acting on $H_0\\otimes\\ell^2({\\mathbb{Z}_+})$, called the w*-semicrossed product of $A$ with $\\beta$. We prove that the w*-semicrossed product is a reflexive operator algebra provided $A$ is reflexive and $\\beta$ is unitarily implemented, and that it has the bicommutant property if and only if so does $A$. Also, we show that the w*-semicrossed product generated by a commutative C*-algebra and a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.5314","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"}