{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1870020693364475136.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.48550/arxiv.math/0010202"}}],"dc:title":[{"@value":"Irreducible subfactors of $L(\\mathbb F_\\infty)$ of index $��>4$"}],"description":[{"notation":[{"@value":"By utilizing an irreducible inclusion of type III$_{q^{2}} $ factors coming from a free-product type action of the quantum group $ SU_{q}(2) $, we show that the free group factor $ L(\\mathbb {F}_{\\infty}) $ possesses irreducible subfactors of arbitrary index $ >4 $. Combined with earlier results of Radulescu, this shows that $ L(\\mathbb {F}_{\\infty}) $ has irreducible subfactors with any index value in $ \\{4\\cos ^{2}(��/n):n\\geq 3\\}\\cup [4,+\\infty) $."}]},{"notation":[{"@value":"Final version (correcting typos and adding an appendix)"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1890020693364475136","@type":"Researcher","foaf:name":[{"@value":"Shlyakhtenko, Dimitri"}]},{"@id":"https://cir.nii.ac.jp/crid/1890020693364475137","@type":"Researcher","foaf:name":[{"@value":"Ueda, Yoshimichi"}]}],"publication":{"dc:publisher":[{"@value":"arXiv"}],"prism:publicationDate":"2000-01-01"},"foaf:topic":[{"@id":"https://cir.nii.ac.jp/all?q=FOS:%20Mathematics","dc:title":"FOS: Mathematics"},{"@id":"https://cir.nii.ac.jp/all?q=Operator%20Algebras%20(math.OA)","dc:title":"Operator Algebras (math.OA)"}],"dataSourceIdentifier":[{"@type":"OPENAIRE","@value":"doi_________::6c1922486135482910c3ebd3a14ac1e4"}]}