The classification of some generalised Bunce-Deddens algebras

被引：0

作者：

Rout, James ^{[1
]}

机构：

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

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2017年 / 272卷 / 09期

关键词：

Graph C*-algebra; K-theory; Classification; Generalised Bunce-Deddens algebra; GRAPHS;

D O I：

10.1016/j.fa.2017.01.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use K-theory to prove an isomorphism theorem for a large class of generalised Bunce-Deddens algebras constructed by Kribs and Solel from a directed graph E and a sequence w of positive integers. In particular, we compute the torsion-free component of the Ko-group for a class of generalised Bunce-Deddens algebras to show that supernatural numbers are a complete invariant for this class. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：3919 / 3945

页数：27

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