Duality for actions of weak Kac algebras and crossed product inclusions of II_1 factors

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dc.creatorNikshych, D.
dc.date1998-10-08
dc.date.accessioned2026-07-07T05:26:21Z
dc.date.available2026-07-07T05:26:21Z
dc.descriptionWe show that indecomposable weak Kac algebras are free over their Cartan subalgebras and prove a duality theorem for their actions. Using this result, for any biconnected weak Kac algebra we construct a minimal action on the hyperfinite II_1 factor. The corresponding crossed product inclusion of II_1 factors has depth 2 and an integer index. Its first relative commutant is, in general, non-trivial, so we derive some arithmetic properties of weak Kac algebras from considering reduced subfactors.
dc.descriptionLatex, 28 pages
dc.identifierhttps://arxiv.org/abs/math/9810049
dc.identifierhttp://arxiv.org/abs/math/9810049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77520
dc.subjectQuantum Algebra
dc.subjectOperator Algebras
dc.titleDuality for actions of weak Kac algebras and crossed product inclusions of II_1 factors
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