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A Continuous Field of Projectionless $C^*$-Algebras

Published:2001-02-01
Printed: Feb 2001
• Andrew Dean
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Abstract

We use some results about stable relations to show that some of the simple, stable, projectionless crossed products of $O_2$ by $\bR$ considered by Kishimoto and Kumjian are inductive limits of type I $C^*$-algebras. The type I $C^*$-algebras that arise are pullbacks of finite direct sums of matrix algebras over the continuous functions on the unit interval by finite dimensional $C^*$-algebras.
 MSC Classifications: 46L35 - Classifications of $C^*$-algebras 46L57 - Derivations, dissipations and positive semigroups in $C^*$-algebras

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