{"paper":{"title":"Amenable absorption in von Neumann algebras of hyperbolic groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Adriana Fernandez Quero, Adrian Ioana, Ionut Chifan, Juan Felipe Ariza Mejia","submitted_at":"2026-06-08T19:31:42Z","abstract_excerpt":"We prove that the von Neumann algebra $\\cL(G)$ associated with any hyperbolic group $G$ satisfies the following \\emph{amenable absorption property}: for any infinite maximal amenable subgroup $H \\leqslant G$ and any amenable von Neumann subalgebra $\\mathcal{Q} \\subset \\cL(G)$ with diffuse intersection with $\\cL(H)$, one must have $\\mathcal{Q} \\subset \\cL(H)$. This strengthens a result of Boutonnet and Carderi \\cite{BC2}.\n  We also establish similar amenable absorption results for the broader class of acylindrically hyperbolic groups, including relatively hyperbolic groups, mapping class groups"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10105","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/2606.10105/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"}