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On factor states of $C^*$-algebras and their extensions

Author(s): Cho-Ho Chu; Masaharu Kusuda
Journal: Proc. Amer. Math. Soc. 124 (1996), 207-215.
MSC (1991): Primary 46L05; Secondary 46L10, 46L30
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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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Additional Information:

Cho-Ho Chu
Affiliation: Department of Mathematical Sciences, Goldsmiths College, University of London, London SE14 6NW, England
Email: chu@scorpio.gold.ac.uk

Masaharu Kusuda
Affiliation: Department of Mathematics, Faculty of Engineering, Kansai University, Yamate-Cho 3-3-35, Suita, Osaka 564, Japan
Email: t932529@ipckus.ipcku.kansai-u.ac.jp

DOI: 10.1090/S0002-9939-96-03026-2
PII: S 0002-9939(96)03026-2
Received by editor(s): August 8, 1994
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1996, American Mathematical Society

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