Covering dimension of Cuntz semigroups II

  title={Covering dimension of Cuntz semigroups II},
  author={Hannes Thiel and Eduard Vilalta},
  journal={International Journal of Mathematics},
We show that the dimension of the Cuntz semigroup of a [Formula: see text]-algebra is determined by the dimensions of the Cuntz semigroups of its separable sub-[Formula: see text]-algebras. This allows us to remove separability assumptions from previous results on the dimension of Cuntz semigroups. To obtain these results, we introduce a notion of approximation for abstract Cuntz semigroups that is compatible with the approximation of a [Formula: see text]-algebra by sub-[Formula: see text… 
Covering dimension of Cuntz semigroups
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