The Cuntz Semigroup of Continuous Functions into Certain Simple C∗-algebras

  title={The Cuntz Semigroup of Continuous Functions into Certain Simple C∗-algebras},
  author={Aaron Tikuisis},
This paper contains computations of the Cuntz semigroup of separable C∗-algebras of the form C0(X, A), where A is a unital, simple, Z-stable ASH algebra. The computations describe the Cuntz semigroup in terms of Murray-von Neumann semigroups of C(K, A) for compact subsets K of X. In particular, the computation shows that the Elliott invariant is functorially equivalent to the invariant given by the Cuntz semigroup of C(T, A). These results are a contribution towards the goal of using the Cuntz… CONTINUE READING
2 Citations
39 References
Similar Papers


Publications citing this paper.


Publications referenced by this paper.
Showing 1-10 of 39 references

Quasi-traces on exact C∗-algebras are traces

  • U. Haagerup
  • Unpublished preprint,
  • 1991
Highly Influential
5 Excerpts

Séparation des fonctions réelles définies sur un simplexe de Choquet

  • D. A. Edwards
  • C. R. Acad. Sci. Paris,
  • 1965
Highly Influential
3 Excerpts

Classification of inductive limits of 1-dimensional NCCW complexes

  • L. Robert
  • arXiv preprint
  • 2010
1 Excerpt

Quasitraces are traces: A short proof of the finite-nuclear-dimension case

  • N. P. Brown, W. Winter
  • arXiv preprint
  • 2010
1 Excerpt

Similar Papers

Loading similar papers…