The Laplacian subalgebra of the k-folded tensor product of the free group factor with itself is a strongly singular masa

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dc.creatorBildea, Teodor Stefan
dc.date2005-03-15
dc.date2005-10-11
dc.date.accessioned2026-07-07T06:39:35Z
dc.date.available2026-07-07T06:39:35Z
dc.descriptionIn this paper, we present a new class of strongly singular maximal abelian subalgebras living inside the k-folded tensor product of the free group factor (on N>1 generators). A. Sinclair and R. Smith introduced the class of strongly singular maximal abelian von Neumann algebras (MASA) of type II_1 factors. One of their examples was the Laplacian subalgebra of the free group factor, known to be a singularMASA. Using the techniques presented by A. Sinclair and R.Smith, we show that the Laplacian subalgebra of the k-folded tensor product of the free group factor with itself is a strongly singular MASA.
dc.descriptionReviewed version
dc.identifierhttps://arxiv.org/abs/math/0503281
dc.identifierhttp://arxiv.org/abs/math/0503281
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101129
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject46L10,20E05
dc.titleThe Laplacian subalgebra of the k-folded tensor product of the free group factor with itself is a strongly singular masa
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