KUMJIAN-PASK ALGEBRAS OF HIGHER-RANK GRAPHS

被引：2

作者：

Pino, Gonzalo Aranda ^{[1
]}

Clark, John ^{[2
]}

Huef, Astrid An ^{[2
]}

Raeburn, Iain ^{[2
]}

机构：

[1] Univ Malaga, Dept Algebra Geometria & Topol, E-29071 Malaga, Spain

[2] Univ Otago, Dept Math & Stat, Dunedin 9054, New Zealand

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 365卷 / 07期

关键词：

Leavitt path algebra; Cuntz-Krieger algebra; higher-rank graph; graph algebra; C-ASTERISK-ALGEBRAS; LEAVITT PATH ALGEBRAS; IDEAL STRUCTURE; SYSTEMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce higher-rank analogues of the Leavitt path algebras, which we call the Kumjian-Pask algebras. We prove graded and Cuntz-Krieger uniqueness theorems for these algebras, and analyze their ideal structure.

引用

页码：3613 / 3641

页数：29

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