Journal of Operator Theory
Volume 88, Issue 1, Summer 2022 pp. 173-189.
Nuclear dimension of extensions of $\mathcal{O}_\infty$-stable algebras
Authors:
Samuel Evington
Author institution: Mathematical Institute, University of Muenster, Einsteinstrasse 62, 48149 Muenster, Germany
Summary: We obtain an improved upper bound for the nuclear
dimension of extensions of $\mathcal{O}_\infty$-stable ${C}^*$-algebras.
In particular, we prove that the nuclear dimension of a full extension of an
$\mathcal{O}_\infty$-stable ${C}^*$-algebra by a stable AF algebra is one.
DOI: http://dx.doi.org/10.7900/jot.2020dec21.2321
Keywords: $C^*$-algebras, nuclear dimension
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