{"paper":{"title":"Extremal unital completely positive normal maps and its symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.OA","authors_text":"Anilesh Mohari","submitted_at":"2013-01-11T14:34:07Z","abstract_excerpt":"We consider the convex set of ( unital ) positive ( completely ) maps from a $C^*$ algebra $\\cla$ to a von-Neumann sub-algebra $\\clm$ of $\\clb(\\clh)$, the algebra of bounded linear operators on a Hilbert space $\\clh$ and study its extreme points via its canonical lifting to the convex set of ( unital ) positive ( complete ) normal maps from $\\hat{\\cla}$ to $\\clm$, where $\\hat{\\cla}$ is the universal enveloping von-Neumann algebra over $\\cla$. If $\\cla=\\clm$ and a ( complete ) positive operator $\\tau$ is a unique sum of a normal and a singular ( complete ) positive maps. Furthermore, a unital c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.2507","kind":"arxiv","version":3},"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"}