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

C. Ivanescu

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arXiv · math/0312044

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

C. Ivanescu

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Abstract

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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C. Ivanescu. 2003-12-30. On the classification of simple approximately subhomogeneous C*-algebras not necessarily of real rank zero. https://arxiv.org/abs/math/0312044

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