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.
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页码：3919 / 3945
页数：27
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