{"id":"ae2ae0fb-b141-4c41-b7bc-e08e3dfd53af","arxiv_id":"2411.08086","paper_version":2,"verdict":"CONDITIONAL","confidence":"MODERATE","novelty_score":7.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":0,"one_line_summary":"Every absolutely dilatable completely positive map that is bimodular over a von Neumann algebra has the form of a unitary rotation followed by a trace slice, and a hierarchy of such maps is equivalent to the Connes Embedding Problem.","lead":"This paper gives a complete description of the completely positive maps on operator algebras that admit an absolute dilation, meaning that all powers of the map come from one reversible evolution. The description is tied to the Connes Embedding Problem, a central question in operator algebras and quantum information.","discovery_kind":"extension","skeptic_critique":null,"referee_report":null,"author_rebuttal":null,"desk_editor":null,"rs_alignment":null,"lean_confirmation":null,"pith_extraction":null,"created_at":"2026-08-12T22:02:57.487542+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":null,"supporting_citations":[],"review_version":1}