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

7 Dec 2020 · Samuel Evington ·

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.