On the nuclear dimension of strongly purely infinite C*-algebras
Operator Algebras
2018-01-12 v2
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.
Keywords
Cite
@article{arxiv.1510.01917,
title = {On the nuclear dimension of strongly purely infinite C*-algebras},
author = {Gabor Szabo},
journal= {arXiv preprint arXiv:1510.01917},
year = {2018}
}
Comments
7 pages; v2 a few minor stylistic changes in the intro. This version is going to appear in Advances in Mathematics