### 抜粋

There are many classes of nonsimple graph C*-algebras that are classified by the six-term exact sequence in K-theory. In this paper we consider the range of this invariant and determine which cyclic six-term exact sequences can be obtained by various classes of graph C*-algebras. To accomplish this, we establish a general method that allows us to form a graph with a given sixterm exact sequence of K-groups by splicing together smaller graphs whose C*- algebras realize portions of the six-term exact sequence. As rather immediate consequences, we obtain the first permanence results for extensions of graph C*-algebras. We are hopeful that the results and methods presented here will also prove useful in more general cases, such as situations where the C*-algebras under investigation have more than one ideal and where there are currently no relevant classification theories available.

元の言語 | English |
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ページ（範囲） | 3811-3847 |

ページ数 | 37 |

ジャーナル | Transactions of the American Mathematical Society |

巻 | 368 |

発行部数 | 6 |

DOI | |

出版物ステータス | Published - 2016 6 1 |

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

## フィンガープリント The ranges of k-theoretic invariants for nonsimple graph algebras' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

## これを引用

*Transactions of the American Mathematical Society*,

*368*(6), 3811-3847. https://doi.org/10.1090/tran/6443