Department of Mathematical Sciences, Goldsmiths College, University of London, London SE14 6NW, England ; Department of Mathematics, Faculty of Engineering, Kansai University, Yamate-Cho 3-3-35, Suita, Osaka 564, Japan
Abstract:
We obtain some results on the unique extension of (factor) states of -algebras which complement various existing results. Our results also lead to a class of -algebras whose states are -convex sums of factor states.