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Limits of pure states, II

Published online by Cambridge University Press:  20 January 2009

R. J. Archbold
Affiliation:
Department of Mathematical SciencesThe Edward Wright BuildingDunbar StreetAberdeen AB9 2TY
A. M. Zaki
Affiliation:
Department of MathematicsFaculty of ScienceAswan, Egypt
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Abstract

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We answer a question raised in an earlier paper concerning the pure state space of a separable C*-algebra.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1992

References

REFERENCES

1.Archbold, R. J., Topologies for primal ideals, J. London Math. Soc. (2) 36 (1987), 524542.Google Scholar
2.Archbold, R. J., Limits of pure states, Proc. Edinbrugh Math. Soc. 32 (1989), 249254.CrossRefGoogle Scholar
3.Archbold, R. J. and Batty, C. J. K., On factorial states of operator algebras, III, J. Operator Theory 15 (1986), 5381.Google Scholar
4.Batty, C. J. K. and Archbold, R. J., On factorial states of operator algebras, II, J. Operator Theory 13 (1985), 131142.Google Scholar
5.Dixmier, J., Les C*-algèbres et lews représentations (2nd edition, Gauthier-Villars, Paris, 1969).Google Scholar
6.Pedersen, G. K., C*-Algebras and their Automorphism Groups (Academic Press, London, 1979).Google Scholar