Intersections of finite families of finite index subfactors
Operator Algebras
2007-05-23 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.math/0406331,
title = {Intersections of finite families of finite index subfactors},
author = {Vaughan F. R. Jones and Feng Xu},
journal= {arXiv preprint arXiv:math/0406331},
year = {2007}
}
Comments
17 pages, to appear in International Journal of Mathematics