Leavitt Path Algebras and Direct Limits

被引：0
|
作者：
Goodearl, K. R. [1 ]
机构：
[1] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA
来源：
RINGS, MODULES AND REPRESENTATIONS | 2009年 / 480卷
关键词：
Leavitt path algebra; uncountable graph; direct limit; EXCHANGE RINGS; ARBITRARY GRAPHS; STABLE RANK; MODULES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An introduction to Leavitt path algebras of arbitrary directed graphs is presented, and direct limit techniques are developed, with which many results that had previously been proved for countable graphs can be extended to uncountable ones. Such results include characterizations of simplicity, characterizations of the exchange property, and cancellation conditions for the K-theoretic monoid of equivalence classes of idempotent matrices.
引用
收藏
页码：165 / 187
页数：23
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