### Abstract

It is proved that classifiable simple separable nuclear purely infinite C^{*}-algebras having finitely generated K-theory and torsion-free K_{1} are semiprojective. This is accomplished by exhibiting these algebras as C^{*}-algebras of infinite directed graphs.

Original language | English (US) |
---|---|

Pages (from-to) | 2805-2830 |

Number of pages | 26 |

Journal | Transactions of the American Mathematical Society |

Volume | 361 |

Issue number | 6 |

DOIs | |

State | Published - Jun 2009 |

### Fingerprint

### Keywords

- Graph algebra
- Semiprojectivity
- Simple purely infinite c-algebra

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

**Semiprojectivity for certain purely infinite C ^{*}-algebras.** / Spielberg, John.

Research output: Contribution to journal › Article

^{*}-algebras',

*Transactions of the American Mathematical Society*, vol. 361, no. 6, pp. 2805-2830. https://doi.org/10.1090/S0002-9947-09-04928-9

}

TY - JOUR

T1 - Semiprojectivity for certain purely infinite C*-algebras

AU - Spielberg, John

PY - 2009/6

Y1 - 2009/6

N2 - It is proved that classifiable simple separable nuclear purely infinite C*-algebras having finitely generated K-theory and torsion-free K1 are semiprojective. This is accomplished by exhibiting these algebras as C*-algebras of infinite directed graphs.

AB - It is proved that classifiable simple separable nuclear purely infinite C*-algebras having finitely generated K-theory and torsion-free K1 are semiprojective. This is accomplished by exhibiting these algebras as C*-algebras of infinite directed graphs.

KW - Graph algebra

KW - Semiprojectivity

KW - Simple purely infinite c-algebra

UR - http://www.scopus.com/inward/record.url?scp=69849109834&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=69849109834&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-09-04928-9

DO - 10.1090/S0002-9947-09-04928-9

M3 - Article

AN - SCOPUS:69849109834

VL - 361

SP - 2805

EP - 2830

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 6

ER -