Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-24T12:26:09.339Z Has data issue: false hasContentIssue false
  • English
  • Français

On the density of the invertible group in C*-algebras

Published online by Cambridge University Press:  20 January 2009

Guyan Robertson
Guyan Robertson
Affiliation:
Mathematical Institute, 20 Chambers Street, Edinburgh EH1 1HZ
Rights & Permissions [Opens in a new window]

Extract

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.

In what follows the term C*-algebra will mean a complex C*-algebra with identity. We denote the identity element by 1. We shall also use the notation and terminology of Dixmier (3) without comment.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 20 , Issue 2 , September 1976 , pp. 153 - 157
Copyright
Copyright © Edinburgh Mathematical Society 1976

References

REFERENCES

(1) Ahlfors, L., Complex analysis (McGraw-Hill, 1952).Google Scholar
(2) Choda, H., An extremal property of the polar decomposition in von Neumann algebras, Proc. Japan Acad. 46 (1970), 341–344.Google Scholar
(3) Dixmier, J., Les C*-algèbres et leurs representations (Gauthier-Villars, 1969).Google Scholar
(4) Dixmier, J. and Maréchal, O., Vecteurs totalisateurs d'une algèbre de von Neumann, Commun. Math. Phys. 22 (1971), 44–50.CrossRefGoogle Scholar
(5) Fell, J. M. G., The structure of algebras of operator fields, Acta Math. 106 (1961), 233–280.CrossRefGoogle Scholar
(6) Glimm, J. and Kadison, R. V., Unitary operators in C*-algebras, Pac. J. Math. 10 (1960), 547–556.CrossRefGoogle Scholar
(7) Hurewicz, W. and Wallman, H., Dimension theory (Princeton University Press, 1948).Google Scholar
(8) Nagata, J., Modern dimension theory (North Holland, 1965).Google Scholar
(9) Peck, N. T., Representation of functions in C(X) by means of extreme points, Proc. Amer. Math. Soc. 18 (1967), 133–135.Google Scholar
(10) Robertson, A. G., A note on the unit ball in C*-algebras, Bull. London Math. Soc. 6 (1974), 333–335.CrossRefGoogle Scholar
(11) Robertson, A. G., Ph.D. Thesis (Newcastle University, 1974).Google Scholar