The ideal structure of the C*-algebras of infinite graphs

被引：141

作者：

Bates, T ^{[1
]}

Hong, JH

Raeburn, I

Szymanski, W

机构：

[1] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia

[2] Korea Maritime Univ, Pusan 606791, South Korea

[3] Univ Newcastle, Callaghan, NSW 2308, Australia

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2002年 / 46卷 / 04期

关键词：

D O I：

10.1215/ijm/1258138472

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We classify the gauge-invariant ideals in the C*-algebras of infinite directed graphs, and describe the quotients as graph algebras. We then use these results to identify the gauge-invariant primitive ideals in terms of the structural properties of the graph, and describe the Ktheory of the C*-algebras of arbitrary infinite graphs.

引用

页码：1159 / 1176

页数：18

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