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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In 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.
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Operator Algebras, Functional Analysis, 46L10,20E05

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http://salesiana.dossiersoluciones.com/handle/123456789/101129

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503281
 http://arxiv.org/abs/math/0503281

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arXiv