EXTENSIONS OF FACTORIAL STATES OF CSTAR-ALGEBRAS

Let A be a C*-algebra, B be a C*-subalgebra of A, and φ be a factorial state of B. Sometimes, φ may be extended to a factorial state of A by a tensor product method of Sakai ("C*-algebras and W*-algebras, Springer-Verlag, Berlin/Heidelberg/ New York 1971"). Sometimes, there is a weak expec...