On the nuclear dimension of strongly purely infinite C*-algebras (1510.01917v2)

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 R{\o}rdam on strongly purely infinite C*-algebras that are homotopic to zero in an ideal-system preserving way.