### Abstract

This paper contains computations of the Cuntz semigroup of separable C*-algebras of the form C(X, A), where A is a unital, simple, Z-stable ASH algebra. The computations describe the Cuntz semigroup in terms of Murrayvon 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(double-struck T sign, A). These results are a contribution towards the goal of using the Cuntz semigroup in the classification of well-behaved non-simple C*-algebras.

Original language | English |
---|---|

Pages (from-to) | 1051-1087 |

Number of pages | 37 |

Journal | International Journal of Mathematics |

Volume | 22 |

Issue number | 8 |

DOIs | |

Publication status | Published - 1 Aug 2011 |

### Keywords

- Cuntz semigroup
- approximately subhomogeneous C*- algebras.

## Fingerprint Dive into the research topics of 'The Cuntz semigroup of continuous functions into certain simple C*-algebras'. Together they form a unique fingerprint.

## Cite this

Tikuisis, A. (2011). The Cuntz semigroup of continuous functions into certain simple C*-algebras.

*International Journal of Mathematics*,*22*(8), 1051-1087. https://doi.org/10.1142/S0129167X11007136