{"paper":{"title":"Rigidity results for von Neumann algebras arising from mixing extensions of profinite actions of groups on probability spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Ionut Chifan, Sayan Das","submitted_at":"2019-03-17T18:32:40Z","abstract_excerpt":"Motivated by Popa's seminal work \\cite{Po04}, in this paper, we provide a fairly large class of examples of group actions $\\Gamma \\curvearrowright X$ satisfying the extended Neshveyev-St{\\o}rmer rigidity phenomenon \\cite{NS03}: whenever $\\Lambda \\curvearrowright Y$ is a free ergodic pmp action and there is a $\\ast$-isomorphism $\\Theta:L^\\infty(X)\\rtimes \\Gamma \\rightarrow L^\\infty(Y)\\rtimes \\Lambda$ such that $\\Theta(L(\\Gamma))=L(\\Lambda)$ then the actions $\\Gamma\\curvearrowright X$ and $\\Lambda \\curvearrowright Y$ are conjugate (in a way compatible with $\\Theta$). We also obtain a complete de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.07143","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"}