Journal of Operator Theory

Volume 54, Issue 2, Fall 2005 pp. 377-386.

Infinite stable rank for a continuous field algebra with fibres $\mathcal{K}$

Authors: D. Kucerovsky (1) and P.W. Ng (2)
Author institution: (1) Department of Mathematics and Statistics, UNB-F, Fredericton, N.B., E3B 5A3 Canada, (2) Department of Mathematics and Statistics, UNB-F, Fredericton, N.B., E3B 5A3 Canada

Summary: We give an example of a Dixmier-Douady bundle with fibres isomorphic to the compact operators, such that the $C^{*}$-algebra of sections has infinite stable rank.

Keywords: $C^*$-algebras, stable rank, infinite-dimensional

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