A Galois correspondence for II_1 factors and quantum groupoids

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dc.creatorNikshych, Dmitri
dc.creatorVainerman, Leonid
dc.date2000-01-04
dc.date.accessioned2026-07-07T04:33:12Z
dc.date.available2026-07-07T04:33:12Z
dc.descriptionWe establish a Galois correspondence for finite quantum groupoid actions on II_1 factors and show that every finite index and finite depth subfactor is an intermediate subalgebra of a quantum groupoid crossed product. Moreover, any such a subfactor is completely and canonically determined by a quantum groupoid and its coideal *-subalgebra. This allows to express the bimodule category of a subfactor in terms of the representation category of a corresponding quantum groupoid and the principal graph as the Bratteli diagram of an inclusion of certain C^*-algebras related to it.
dc.description32 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/0001020
dc.identifierhttp://arxiv.org/abs/math/0001020
dc.identifierJournal of Func. Analysis, 178 no.1, 113-142 (2000)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58484
dc.subjectQuantum Algebra
dc.subjectOperator Algebras
dc.titleA Galois correspondence for II_1 factors and quantum groupoids
dc.typetext

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