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On the Simple Inductive Limits of Splitting Interval Algebras with Dimension Drops |
Canad. J. Math. 64(2012), 544-572
Published:2011-09-22
Printed: Jun 2012
Printed: Jun 2012
- Zhiqiang Li,
Abstract
A K-theoretic classification is given of the simple inductive limits
of finite direct sums of the
type I $C^*$-algebras known as splitting interval algebras with
dimension drops. (These are the subhomogeneous $C^*$-algebras, each
having spectrum a finite union
of points and an open interval, and torsion $\textrm{K}_1$-group.)
| MSC Classifications: |
46L05 - General theory of $C^*$-algebras 46L35 - Classifications of $C^*$-algebras |