Intersections of finite families of finite index subfactors

Details Intersections of finite families of finite index subfactors Intersections of finite families of finite index subfactors

2004-06-16

arxiv.org/abs/math/0406331v2

Mathematics

Operator Algebras

17 pages, to appear in International Journal of Mathematics

Scientific paper

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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