Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-25T04:12:29.398Z Has data issue: false hasContentIssue false
  • English
  • Français

The Minimal Primal Ideal Space of a C*-Algebra and Local Compactness

Published online by Cambridge University Press:  20 November 2018

Ferdinand Beckhoff
Ferdinand Beckhoff*
Affiliation:
Mathematisches Institut de Westfälischen Wilhelms-Universität, Münster, Einsteinstr. 62, 4400 Münster, FRG
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

This paper is concerned with local compactness of the minimal primal ideal space of a C*-algebra, a sufficient condition is given. The property in question has bad hereditary properties as is shown by examples.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 4 , 01 December 1991 , pp. 440 - 446
Copyright
Copyright © Canadian Mathematical Society 1991

References

1. Archbold, R. J., Topologies for primal ideals, J. London Math. Soc. (2)36 (1987), 524–542.Google Scholar
2. Archbold, R. J. andC. Batty, J. K., On factorial states of operator algebras III, J. Operator Theory 15 (1986), 33–81.Google Scholar
3. Dixmier, J., Sur les espaces localement quasi-compact, Canad. J. Math. 20 (1968), 1093–1100. 4 , C*-algebras. North Holland Publishing Company, 1977.Google Scholar
5. Fell, J. M. G., The structure of algebras of operator fields, Acta Math. 106 (1961), 233–280.Google Scholar
6. Fell, J. M. G., A Hausdorff-topology for the closed subsets of a locally compact non-Hausdorff space, Proc. Amer. Math. Soc. 13 (1962), 472–476.Google Scholar
7. Willard, S., General topology. Addison Wesley Publishing Company, 1970.Google Scholar