Intersections of finite families of finite index subfactors

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We prove that finiteness of the index of the intersection of a finite set of finite index subalgebras in a von Neumann algebra (with small centre) is equivalent to the finite dimensionality of the algebra generated by the conditional expectations onto the subalgebras.
17 pages, to appear in International Journal of Mathematics

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Operator Algebras, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/71584

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406331
 http://arxiv.org/abs/math/0406331

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arXiv