Intersections of finite families of finite index subfactors

Vaughan F. R. Jones; Feng Xu

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Intersections of finite families of finite index subfactors

Vaughan F. R. Jones·Feng Xu

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Abstract

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.

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BibTeX RIS

Vaughan F. R. Jones, Feng Xu. 2004-07-08. Intersections of finite families of finite index subfactors. https://arxiv.org/abs/math/0406331

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