SUBCENTRALITY OF RESTRICTIONS OF BOUNDARY MEASURES ON STATE-SPACES OF C-STAR-ALGEBRAS

Let F be a closed face of the weak* compact convex state space of a unital C*-algebra A. The author has already shown that F is a Choquet simplex if and only if pφFπφ(A)″pφF is abelian for any φ in F with associated cyclic representation (Hφ,πφ,ξφ), where pφF is the orthogonal projection of Hφ onto...