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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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.10105","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2026-06-08T19:31:42Z","cross_cats_sorted":[],"title_canon_sha256":"47cf2971e6bb731c8dbd6c086156d61bc0fa9820da711b26294e5cd571180698","abstract_canon_sha256":"fa953f0ea46f848ac75f320e503fa8d5a035aa2644c99121787e0675f0e8b403"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-10T01:08:54.330600Z","signature_b64":"aqpf3/ls7RAdrFrWn5c4KXbzbD9GWvP/FNM1F42wbxhOslPKtDNdlWk4nv+Q/4tu5vUABnljakB67XzoJ1UCBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b42e86deb2fb4632c2b0ec8a921fa476c57871db01a24c82f832a728fd3b7d6","last_reissued_at":"2026-06-10T01:08:54.329536Z","signature_status":"signed_v1","first_computed_at":"2026-06-10T01:08:54.329536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"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 $\\mathcal{Q} \\subset \\cL(H)$. 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