{"paper":{"title":"Intermediate subalgebras for reduced crossed products of discrete groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"Dan Ursu, Matthew Kennedy","submitted_at":"2024-06-03T17:28:00Z","abstract_excerpt":"Let $\\alpha : \\Gamma \\curvearrowright A$ be an action of a discrete group $\\Gamma$ on a unital C*-algebra $A$ by *-automorphisms and let $A \\rtimes_{\\alpha,\\lambda} \\Gamma$ denote the corresponding reduced crossed product C*-algebra. Assuming that $\\Gamma$ satisfies the approximation property, we establish a sufficient and (almost always) necessary condition on the action $\\alpha$ for the existence of a Galois correspondence between intermediate C*-algebras for the inclusion $A \\subseteq A \\rtimes_{\\alpha,\\lambda} \\Gamma$ and partial subactions of $\\alpha$. This condition, which we refer to as"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.01546","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/2406.01546/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"}