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On Classification of Certain C*-Algebras

Published online by Cambridge University Press:  20 November 2018

George Elliott  and
Igor Fulman
George Elliott
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Ontario, M5S 3G3, email: elliott@math.toronto.edu
Igor Fulman
Affiliation:
Department of Mathematics and Statistics, University of Calgary 2500 University, Drive NW Calgary, Alberta T2N 1N4, email: ifulman@math.ucalgary.ca
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Abstract

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We consider ${{C}^{*}}$ -algebras which are inductive limits of finite direct sums of copies of $C([0,\,1])\otimes {{\mathcal{O}}_{2}}$ . For such algebras, the lattice of closed two-sided ideals is proved to be a complete invariant.

Keywords

46L0546L35
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 43 , Issue 3 , 01 September 2000 , pp. 320 - 329
Copyright
Copyright © Canadian Mathematical Society 2000

References

[1] Dixmier, J., Les C*-Algèbres et leurs Représentations. Gauthier-Villars, Paris, 1964.Google Scholar
[2] Elliott, G. A., On the classification of C*-algebras of real rank zero. J.ReineAngew.Math. 443 (1993), 179–219.Google Scholar
[3] Mortensen, J., Classification of certain non-simple C*-algebras. Preprints of Odense Universitet, Denmark, 9, 1996.Google Scholar