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arXiv · 2012.03650

Nuclear dimension of extensions of $\mathcal{O}_\infty$-stable algebras

Samuel Evington
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Abstract

We obtain an improved upper bound for the nuclear dimension of extensions of $\mathcal{O}_\infty$-stable $\rm{C}^*$-algebras. In particular, we prove that the nuclear dimension of a full extension of an $\mathcal{O}_\infty$-stable $\rm{C}^*$-algebra by a stable AF algebra is one.

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Samuel Evington. 2020-12-07. Nuclear dimension of extensions of $\mathcal{O}_\infty$-stable algebras. https://arxiv.org/abs/2012.03650

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