On the classification of simple approximately subhomogeneous C*-algebras not necessarily of real rank zero

Details On the classification of simple approximately subhomogeneous C*-algebras not necessarily of real rank zero On the classification of simple approximately subhomogeneous C*-algebras not necessarily of real rank zero

2003-12-02

arxiv.org/abs/math/0312044v2

Mathematics

Operator Algebras

37 pages, 1 figure

Scientific paper

A classification is given of certain separable nuclear C*-algebras not necessarily of real rank zero, namely the class of simple C*-algebras which are inductive limits of continuous-trace C*-algebras whose building blocks have their spectrum homeomorphic to the interval [0,1] or to a finite disjoint union of closed intervals. In particular, a classification of those stably AI algebras which are inductive limits of hereditary sub-C*-algebras of interval algebras is obtained. Also, the range of the invariant is calculated.

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