The C*-algebras of finitely aligned higher-rank graphs

被引：91

作者：

Raeburn, I ^{[1
]}

Sims, A ^{[1
]}

Yeend, T ^{[1
]}

机构：

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

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2004年 / 213卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

graph algebra; Cuntz-Krieger algebra; uniqueness;

D O I：

10.1016/j.jfa.2003.10.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalise the theory of Cuntz-Krieger families and graph algebras to the class of finitely aligned k-graphs. This class contains in particular all row-finite k-graphs. The Cuntz-Krieger relations for non-row-finite k-graphs look significantly different from the usual ones, and this substantially complicates the analysis of the graph algebra. We prove a gauge-invariant uniqueness theorem and a Cuntz-Krieger uniqueness theorem for the C*-algebras of finitely aligned k-graphs. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：206 / 240

页数：35

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