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

页码：314 / 326

页数：13

共 21 条

[1] Topological invariants for substitution tilings and their associated C*-algebras [J].