Higher-rank graph C*-algebras:: An inverse semigroup and groupoid approach

被引：61

作者：

Farthing, C

Muhly, PS

Yeend, T

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[2] Univ Newcastle, Dept Math, Newcastle, NSW 2308, Australia

来源：

SEMIGROUP FORUM | 2005年 / 71卷 / 02期

基金：

美国国家科学基金会;

关键词：

graph algebra; Cuntz-Krieger algebra; higher-rank graph; groupoid; inverse semigroup;

D O I：

10.1007/s00233-005-0512-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide inverse semigroup and groupoid models for the Toeplitz and Cuntz-Krieger algebras of finitely aligned higher-rank graphs. Using these models, we prove a uniqueness theorem for the Cuntz-Krieger algebra.

引用

页码：159 / 187

页数：29

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