Normal expectations and integral decomposition of type III von Neumann algebras
Normal expectations and integral decomposition of type III von Neumann algebras
Let M be a <7-finite type III von Neumann algebra with separating and cyclic vector ζ (on a not necessarily separable Hubert space), let C be the center of M, let e be the projection corresponding to the subspace generated by Cζ, and let τ(x) be the unique element in …