On the Simple Inductive Limits of Splitting Interval Algebras with Dimension Drops

Li, Zhiqiang

Canadian journal of mathematics, Tome 64 (2012) no. 3, pp. 544-572

Résumé

A $\text{K}$ -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 ${{K}_{1}}$ -group.)

Détail

DOI : 10.4153/CJM-2011-060-1

Mots-clés : 46L05, 46L35

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