Simplicity, primitivity and semiprimitivity of etale groupoid algebras with applications to inverse semigroup algebras

被引：40
|
作者：
Steinberg, Benjamin [1 ]
机构：
[1] CUNY City Coll, Dept Math, New York, NY 10031 USA
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2016年 / 220卷 / 03期
关键词：
LEAVITT PATH ALGEBRAS; STEINBERG ALGEBRAS;
D O I：
10.1016/j.jpaa.2015.08.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies simplicity, primitivity and semiprimitivity of algebras associated to etale groupoids. Applications to inverse semigroup algebras are presented. The results also recover the semiprimitivity of Leavitt path algebras and can be used to recover the known primitivity criterion for Leavitt path algebra. (C) 2015 Elsevier B.V. All rights reserved.
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页码：1035 / 1054
页数：20
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