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
收藏
页码：3613 / 3641
页数：29
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