Calcul stochastique non commutatif
The topology and the structure of the set of the canonical extensions of positive, weakly continuous functionals from a von Neumann subalgebra to a von Neumann algebra M are described.
It is shown that every von Neumann algebra whose centre determines the state space is already abelian.
We describe the subspaces of (1 ≤ p ≠ 2 < ∞) which are the range of a completely contractive projection.