K-theory of the chair tiling via AF-algebras

被引：4
|
作者：
Julien, Antoine [1 ]
Savinien, Jean [2 ,3 ]
机构：
[1] NTNU, Dept Math Sci, Trondheim, Norway
[2] Univ Lorraine, Inst Elie Cartan de Lorraine, UMR 7502, F-57045 Metz, France
[3] CNRS, Inst Elie Cartan de Lorraine, UMR 7502, F-57045 Metz, France
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2016年 / 106卷
关键词：
Aperiodic tiling; K-theory; C*-algebra; Groupoid; C-ASTERISK-ALGEBRAS; INTEGER GROUP; EQUIVALENCE; COHOMOLOGY;
D O I：
10.1016/j.geomphys.2016.04.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We compute the K-theory groups of the groupoid C*-algebra of the chair tiling, using a new method. We use exact sequences of Putnam to compute these groups from the K-theory groups of the AF-algebras of the substitution and the induced lower dimensional substitutions on edges and vertices. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：314 / 326
页数：13
相关论文
共 50 条
12345