On the K-theory of twisted higher-rank-graph C*-algebras

被引：17

作者：

Kumjian, Alex ^{[1
]}

Pask, David ^{[2
]}

Sims, Aidan ^{[2
]}

机构：

[1] Univ Nevada, Dept Math 084, Reno, NV 89557 USA

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 401卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

C*-algebra; Graph algebra; k-graph; K-theory;

D O I：

10.1016/j.jmaa.2012.11.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the K-theory of twisted higher-rank-graph algebras by adapting parts of Elliott's computation of the K-theory of the rotation algebras. We show that each 2-cocycle on a higher-rank graph taking values in an abelian group determines a continuous bundle of twisted higher-rank graph algebras over the dual group. We use this to show that for a circle-valued 2-cocycle on a higher-rank graph obtained by exponentiating a real-valued cocycle, the K-theory of the twisted higher-rank graph algebra coincides with that of the untwisted one. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：104 / 113

页数：10

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