GROUP ACTIONS ON LABELED GRAPHS AND THEIR C*-ALGEBRAS

被引：8

作者：

Bates, Teresa ^{[1
]}

Pask, David ^{[2
]}

Willis, Paulette ^{[3
]}

机构：

[1] Univ NSW, Sch Math & Stat, Unsw Sydney, NSW 2052, Australia

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

[3] Univ Houston, Dept Math PGH 651, Houston, TX 77204 USA

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2012年 / 56卷 / 04期

基金：

澳大利亚研究理事会;

关键词：

D O I：

10.1215/ijm/1399395826

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notion of the action of a group on a labeled graph and the quotient object, also a labeled graph. We define a skew product labeled graph and use it to prove a version of the Gross-Tucker theorem for labeled graphs. We then apply these results to the C*-algebra associated to a labeled graph and provide some applications in non-Abelian duality.

引用

页码：1149 / 1168

页数：20

共 16 条

[1]

Bates T., ARXIV12033072V1MATHO

[2]

Bates T, 2007, J OPERAT THEOR, V57, P207

[3]

Bates T, 2009, MATH SCAND, V104, P249

[4]

Crisp T, 2008, J OPERAT THEOR, V60, P253

[5] Coverings of directed graphs and crossed products of C*-algebras by coactions of homogeneous spaces [J].

Deicke, K ;

Pask, D ;

Raeburn, I .

INTERNATIONAL JOURNAL OF MATHEMATICS, 2003, 14 (07) :773-789

[6]

Gross J., 1987, SERIES DISCRETE MATH

[7] The structure of gauge-invariant ideals of labelled graph C*-algebras [J].

Jeong, Ja A. ;

Kim, Sun Ho ;

Park, Gi Hyun .

JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 262 (04) :1759-1780

[8] On simple labelled graph C*-algebras [J].

Jeong, Ja A. ;

Kim, Sun Ho .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 386 (02) :631-640

[9]

Kaliszewski S, 2001, J OPERAT THEOR, V46, P411

[10] C*-algebras of directed graphs and group actions [J].

Kumjian, A ;

Pask, D .

ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1999, 19 :1503-1519

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