The classification ofseparable simple C*-algebras which are inductive limits of continuous-trace C*-algebraswith spectrum homeomorphic to the closed interval [0,1]

George A. Elliott; Cristian Ivanescu

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arXiv · 0704.1449

The classification ofseparable simple C-algebras which are inductive limits of continuous-trace C-algebraswith spectrum homeomorphic to the closed interval [0,1]

George A. Elliott·Cristian 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 separable simple C*-algebras which are inductive limits of continuous-trace C*-algebras whose building blocks have spectrum homeomorphic to the closed interval [0,1], or to a disjoint union of copies of this space. Also, the range of the invariant is calculated.

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George A. Elliott, Cristian Ivanescu. 2007-04-11. The classification ofseparable simple C*-algebras which are inductive limits of continuous-trace C*-algebraswith spectrum homeomorphic to the closed interval [0,1]. https://arxiv.org/abs/0704.1449

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