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arXiv · 1510.01917

On the nuclear dimension of strongly purely infinite C*-algebras

Gabor Szabo
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Abstract

We show that separable, nuclear and strongly purely infinite C*-algebras have finite nuclear dimension. In fact, the value is at most three. This exploits a deep structural result of Kirchberg and Rørdam on strongly purely infinite C*-algebras that are homotopic to zero in an ideal-system preserving way.

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Gabor Szabo. 2016-11-09. On the nuclear dimension of strongly purely infinite C*-algebras. https://doi.org/10.1016/j.aim.2016.11.009

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