{"paper":{"title":"Examples of mixing subalgebras of von Neumann algebras and their normalizers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Paul Jolissaint","submitted_at":"2011-03-28T13:59:13Z","abstract_excerpt":"We discuss different mixing properties for triples of finite von Neumann algebras $B\\subset N\\subset M$, and we introduce families of triples of groups $H<K<G$ whose associated von Neumann algebras $L(H)\\subset L(K)\\subset L(G)$ satisfy $\\mathcal{N}_{L(G)}(L(H))\"=L(K)$. It turns out that the latter equality is implied by two conditions: the equality $\\mathcal{N}_G(H)=K$ and the above mentioned mixing properties. Our families of examples also allow us to exhibit examples of pairs $H<G$ such that $L(\\mathcal{N}_G(H))\\not=\\mathcal{N}_{L(G)}(L(H))\"$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5356","kind":"arxiv","version":8},"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"}