{"paper":{"title":"W*-superrigidity for arbitrary actions of central quotients of braid groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.GR"],"primary_cat":"math.OA","authors_text":"Adrian Ioana, Ionut Chifan, Yoshikata Kida","submitted_at":"2013-07-19T15:00:02Z","abstract_excerpt":"For any $n\\geqslant 4$ let $\\tilde B_n=B_n/Z(B_n)$ be the quotient of the braid group $B_n$ through its center. We prove that any free ergodic probability measure preserving (pmp) action $\\tilde B_n\\curvearrowright (X,\\mu)$ is W$^*$-superrigid in the following sense: if $L^{\\infty}(X)\\rtimes\\tilde B_n\\cong L^{\\infty}(Y)\\rtimes\\Lambda$, for an arbitrary free ergodic pmp action $\\Lambda\\curvearrowright (Y,\\nu)$, then the actions $\\tilde B_n\\curvearrowright X,\\Lambda\\curvearrowright Y$ are stably (or, virtually) conjugate. Moreover, we prove that the same holds if $\\tilde B_n$ is replaced with a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5245","kind":"arxiv","version":4},"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"}