CROSSED PRODUCTS OF k-GRAPH C*-ALGEBRAS BY Zl

被引：0

作者：

Farthing, Cynthia ^{[1
]}

Pask, David ^{[2
]}

Sims, Aidan ^{[2
]}

机构：

[1] Creighton Univ, Dept Math, Omaha, NE 68178 USA

[2] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, Australia

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2009年 / 35卷 / 03期

关键词：

Crossed product; graph C*-algebra; k-graph; dynamical system; CUNTZ-KRIEGER ALGEBRAS; HIGHER-RANK GRAPHS; DIRECTED-GRAPHS; SIMPLICITY; COVERINGS; MATRICES; SYSTEMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An action of Z(l) by automorphisms of a k-graph induces an action of Z(l) by automorphisms of the corresponding k-graph C*-algebra. We show how to construct a (k + l)-graph whose C*-algebra coincides with the crossed product of the original k-graph C*-algebra by Z(l). We then investigate the structure of the crossed-product C*-algebra.

引用

页码：903 / 933

页数：31

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