Hostname: page-component-5c6d5d7d68-wpx84 Total loading time: 0 Render date: 2024-08-30T22:22:13.510Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Dixmier property of certain algebras

Published online by Cambridge University Press:  24 October 2008

R. J. Archbold
R. J. Archbold
Affiliation:
University of Aberdeen
Get access Rights & Permissions [Opens in a new window]

Extract

1. Introduction. The main result of this paper is that the simple C*-algebra (5) has the Dixmier property. As a corollary of the proof we obtain that the relative commutant of the Choi algebra (4) in is trivial.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 86 , Issue 2 , September 1979 , pp. 251 - 260
Copyright
Copyright © Cambridge Philosophical Society 1979

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Archbold, R. J.An averaging process for C*-algebras related to weighted shifts. Proc. London Math. Soc. (3) 35 (1977), 541–554.CrossRefGoogle Scholar
(2)Bratelli, O.Inductive limits of finite dimensional C*-algebras. Trans. Amer. Math. Soc. 171 (1972), 195–234.Google Scholar
(3)Bunce, J. W. and Deddens, J. A.A family of simple C*-algebras related to weighted shift operators, J. Functional Analysis 19 (1975), 13–24.CrossRefGoogle Scholar
(4)Choi, M.-D. A simple C*-algebra generated by two finite-order unitaries. Preprint.Google Scholar
(5)Cuntz, J.Simple C*-algebras generated by isometries, Comm. Math. Phys. 57 (1977), 173–185.Google Scholar
(6)Dixmier, J.Les alg`bres d'opirateurs dans l'espace Hilbertien, 2nd edn.Gauthier-Villars (Paris, 1969).Google Scholar
(7)Goldman, M.Structure of AW*-algebras, I. Duke Math. J. 23 (1956), 23–34.CrossRefGoogle Scholar
(8)Green, W. L.Topological dynamics and C*-algebras. Trans. Amer. Math. Soc. 210 (1975), 107–121.Google Scholar
(9)Powers, R. T.Simplicity of the C*-algebra associated with the free group on two generators. Duke Math. J. 42 (1975), 151–156.CrossRefGoogle Scholar