Abstract
We prove that unital extensions of Kirchberg algebras by separable stable AF algebras have nuclear dimension one. The title follows.
Highlights
A compact space X has covering dimension at most n if every open cover can be refined and (n + 1)-coloured so that sets with the same colour are disjoint ([28])
We prove that unital extensions of Kirchberg algebras by separable stable AF algebras have nuclear dimension one
Nuclear dimension is a generalisation of covering dimension to C∗-algebras, introduced by Winter and the fifteenth-named author ([40]), based on coloured finite-dimensional approximations, and has played a prominent role in the classification programme for amenable C∗-algebras over the last decade
Summary
A compact space X has covering dimension at most n if every open cover can be refined and (n + 1)-coloured so that sets with the same colour are disjoint ([28]). We prove that unital extensions of Kirchberg algebras by separable stable AF algebras have nuclear dimension one.
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