### Abstract

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 |

### Fingerprint

### Keywords

- Cuntz semigroup
- approximately subhomogeneous C*- algebras.

### Cite this

*International Journal of Mathematics*,

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

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

Research output: Contribution to journal › Article

*International Journal of Mathematics*, vol. 22, no. 8, pp. 1051-1087. https://doi.org/10.1142/S0129167X11007136

}

TY - JOUR

T1 - The Cuntz semigroup of continuous functions into certain simple C*-algebras

AU - Tikuisis, A.

PY - 2011/8/1

Y1 - 2011/8/1

N2 - 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.

AB - 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.

KW - Cuntz semigroup

KW - approximately subhomogeneous C- algebras.

UR - http://www.scopus.com/inward/record.url?scp=80052101743&partnerID=8YFLogxK

U2 - 10.1142/S0129167X11007136

DO - 10.1142/S0129167X11007136

M3 - Article

AN - SCOPUS:80052101743

VL - 22

SP - 1051

EP - 1087

JO - International Journal of Mathematics

JF - International Journal of Mathematics

SN - 0129-167X

IS - 8

ER -