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On factor states of -algebras and their extensions
Authors:Cho-Ho Chu   Masaharu Kusuda
Affiliation: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 $C^*$-algebras which complement various existing results. Our results also lead to a class of $C^*$-algebras whose states are $sigma $-convex sums of factor states.

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