Intersections of finite families of finite index subfactors
Vaughan F. R. Jones, Feng Xu
math.OAarXiv:math/0406331
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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