{"paper":{"title":"A Galois correspondence for reduced crossed products of unital simple C$^*$-algebras by discrete groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Jan Cameron, Roger R. Smith","submitted_at":"2017-06-06T14:58:29Z","abstract_excerpt":"Let a discrete group $G$ act on a unital simple C$^*$-algebra $A$ by outer automorphisms. We establish a Galois correspondence $H\\mapsto A\\rtimes_{\\alpha,r}H$ between subgroups of $G$ and C$^*$-algebras $B$ satisfying $A\\subseteq B \\subseteq A\\rtimes_{\\alpha,r}G$, where $A\\rtimes_{\\alpha,r}G$ denotes the reduced crossed product. For a twisted dynamical system $(A,G,\\alpha,\\sigma)$, we also prove the corresponding result for the reduced twisted crossed product $A\\rtimes^\\sigma_{\\alpha,r}G$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.01803","kind":"arxiv","version":2},"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"}