Continuous families of hyperfinite subfactors with the same standard invariant

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dc.creatorBisch, Dietmar
dc.creatorNicoara, Remus
dc.creatorPopa, Sorin
dc.date2006-04-21
dc.date2006-06-06
dc.date.accessioned2026-07-07T07:11:09Z
dc.date.available2026-07-07T07:11:09Z
dc.descriptionWe construct numerous continuous families of irreducible subfactors of the hyperfinite II$_1$ factor, which are non-isomorphic, but have all the same standard invariant. In particular, we obtain 1-parameter families of irreducible, non-isomorphic subfactors of the hyperfinite II$_1$ factor, which have Jones index 6 and have all the same standard invariant with property (T). We exploit the fact that property (T) groups have uncountably many non-cocycle conjugate cocycle actions on the hyperfinite II$_1$ factor.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0604460
dc.identifierhttp://arxiv.org/abs/math/0604460
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111648
dc.subjectOperator Algebras
dc.subject46L10; 46L37
dc.titleContinuous families of hyperfinite subfactors with the same standard invariant
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