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

Samuel Evington

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

Operator Algebras 2021-05-12 v3

Authors: Samuel Evington

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.

Keywords

nuclear dimension c*-algebras o_infinity-stable extensions af algebra full extension

Cite

@article{arxiv.2012.03650,
  title  = {Nuclear dimension of extensions of $\mathcal{O}_\infty$-stable algebras},
  author = {Samuel Evington},
  journal= {arXiv preprint arXiv:2012.03650},
  year   = {2021}
}

Comments

17 pages; accepted version; J. Operator Theory, to appear

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