Covering Dimension for Nuclear C * -algebras

@inproceedings{Winter2003CoveringDF,
  title={Covering Dimension for Nuclear C * -algebras},
  author={Wilhelm Winter},
  year={2003}
}
We introduce the completely positive rank, a notion of covering dimension for nuclear C *-algebras and analyze some of its properties. The completely positive rank behaves nicely with respect to direct sums, quotients, ideals and inductive limits. For abelian C *-algebras it coincides with covering dimension of the spectrum and there are similar results for continuous trace algebras. As it turns out, a C *-algebra is zero-dimensional precisely if it is AF. We consider various examples… CONTINUE READING
Highly Cited
This paper has 31 citations. REVIEW CITATIONS