C*-algebras of directed graphs and group actions

被引:68
作者
Kumjian, A [1 ]
Pask, D
机构
[1] Univ Nevada, Dept Math 084, Reno, NV 89555 USA
[2] Univ Newcastle, Dept Math, Newcastle, NSW 2308, Australia
关键词
D O I
10.1017/S0143385799151940
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Given a free action of a group G on a directed graph E we show that the crossed product of C*(E), the universal C*-algebra of E, by the induced action is strongly Morita equivalent to C*(E/G). Since every connected graph E may be expressed as the quotient of a tree T by an action of a free group G we may use our results to show that C*(E) is strongly Morita equivalent to the crossed product C-0(partial derivative T) x G, where partial derivative T is a certain zero-dimensional space canonically associated to the tree.
引用
收藏
页码:1503 / 1519
页数:17
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