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.

引用

页码：211 / 220

页数：10

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