### Abstract

We introduce a new class of C*-algebras, which is a generalization of both graph algebras and homeomorphism C*-algebras. This class is very large and also very tractable. We prove the so-called gauge-invariant uniqueness theorem and the Cuntz-Krieger uniqueness theorem, and compute the K-groups of our algebras.

Original language | English |
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Pages (from-to) | 4287-4322 |

Number of pages | 36 |

Journal | Transactions of the American Mathematical Society |

Volume | 356 |

Issue number | 11 |

DOIs | |

Publication status | Published - 2004 Nov |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**A class of C*-algebras generalizing both graph algebras and homeomorphism C*-algebras I, fundamental results.** / Katsura, Takeshi.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - A class of C*-algebras generalizing both graph algebras and homeomorphism C*-algebras I, fundamental results

AU - Katsura, Takeshi

PY - 2004/11

Y1 - 2004/11

N2 - We introduce a new class of C*-algebras, which is a generalization of both graph algebras and homeomorphism C*-algebras. This class is very large and also very tractable. We prove the so-called gauge-invariant uniqueness theorem and the Cuntz-Krieger uniqueness theorem, and compute the K-groups of our algebras.

AB - We introduce a new class of C*-algebras, which is a generalization of both graph algebras and homeomorphism C*-algebras. This class is very large and also very tractable. We prove the so-called gauge-invariant uniqueness theorem and the Cuntz-Krieger uniqueness theorem, and compute the K-groups of our algebras.

UR - http://www.scopus.com/inward/record.url?scp=7544240534&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=7544240534&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-04-03636-0

DO - 10.1090/S0002-9947-04-03636-0

M3 - Article

AN - SCOPUS:7544240534

VL - 356

SP - 4287

EP - 4322

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 11

ER -