UCT-Kirchberg algebras have nuclear dimension one

@article{Ruiz2014UCTKirchbergAH,
  title={UCT-Kirchberg algebras have nuclear dimension one},
  author={Efren Ruiz and Aidan Sims and Adam P. W. S{\o}rensen},
  journal={arXiv: Operator Algebras},
  year={2014}
}
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37 Citations
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37 Citations

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References

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On the nuclear dimension of certain UCT-Kirchberg algebras

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The Rokhlin property vs. Rokhlin dimension 1 on unital Kirchberg algebras

We investigate symmetries on unital Kirchberg algebras with respect to the Rokhlin property and finite Rokhlin dimension. In stark contrast to the restrictiveness of the Rokhlin property, every such…

Nuclear dimension and Z -stability

Simple, separable, unital, monotracial and nuclear C ∗ -algebras are shown to have finite nuclear dimension whenever they absorb the Jiang–Su algebra Z tensorially. This completes the proof of the…

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Let X be a compact infinite metric space of finite covering dimension and α : X → X a minimal homeomorphism. We prove that the crossed product $${\mathcal{C}(X) \rtimes_\alpha \mathbb{Z}}$$ absorbs…

The nuclear dimension of graph C*-algebras

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