Purely infinite simple Leavitt path algebras

被引：57
|
作者：
Abrams, Gene [1 ]
Pino, Gonzalo Aranda
机构：
[1] Univ Colorado, Dept Math, Colorado Springs, CO 80933 USA
[2] Univ Malaga, Dept Algebra Geometria & Tropol, E-29071 Malaga, Spain
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2006年 / 207卷 / 03期
关键词：
D O I：
10.1016/j.jpaa.2005.10.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give necessary and sufficient conditions on a row-finite graph E so that the Leavitt path algebra L(E) is purely infinite simple. This result provides the algebraic analog to the corresponding result for the Cuntz-Krieger C*-algebra C*(E) given in [T. Bates, D. Pask, I. Raeburn, W. Szymanski, The C*-algebras of row-finite graphs, New York J. Math. 6 (2000) 307-324]. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：553 / 563
页数：11
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