A Direct Approach to Co-Universal Algebras Associated to Directed Graphs

被引：0
|
作者：
Sims, Aidan [1 ]
Webster, Samuel B. G. [1 ]
机构：
[1] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, Australia
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2010年 / 33卷 / 02期
基金：
澳大利亚研究理事会;
关键词：
Graph algebra; co-universal property;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove directly that if E is a directed graph in which every cycle has an entrance, then there exists a C*-algebra which is co-universal for Toeplitz-Cuntz-Krieger E-families. In particular, our proof does not invoke ideal-structure theory for graph algebras, nor does it involve use of the gauge action or its fixed point algebra.
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页码：211 / 220
页数：10
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