{"paper":{"title":"The Cuntz semigroup and the radius of comparison of the crossed product by a finite group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"M. Ali Asadi-Vasfi, Nasser Golestani, N. Christopher Phillips","submitted_at":"2019-08-17T22:35:57Z","abstract_excerpt":"Let G be a finite group, let A be an infinite-dimensional stably finite simple unital C*-algebra, and let \\alpha \\colon G \\to Aut (A) be an action of G on A which has the weak tracial Rokhlin property. Let A^{\\alpha} be the fixed point algebra. Then the radius of comparison satisfies rc (A^{\\alpha}) \\leq rc (A) and rc ( C* (G, A, \\alpha) ) \\leq ( 1 / card (G) ) rc (A). The inclusion of A^{\\alpha} in A induces an isomorphism from the purely positive part of the Cuntz semigroup Cu (A^{\\alpha}) to the fixed points of the purely positive part of Cu (A), and the purely positive part of Cu ( C* (G, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.06343","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.06343/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}