 |
|
A Continuous Field of Projectionless $C^*$-Algebras |
Canad. J. Math. 53(2001), 51-72
Published:2001-02-01
Printed: Feb 2001
Printed: Feb 2001
- Andrew Dean
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 |