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

@inproceedings{Tikuisis2011TheCS,
  title={The Cuntz Semigroup of Continuous Functions into Certain Simple C∗-algebras},
  author={Aaron Tikuisis},
  year={2011}
}
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
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