On the K-theory of the stable C*-algebras from substitution tilings

被引：7

作者：

Goncalves, Daniel ^{[1
]}

机构：

[1] Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2011年 / 260卷 / 04期

关键词：

C*-algebras; Aperiodic order; Tilings; K-theory;

D O I：

10.1016/j.jfa.2010.10.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a method to compute the K-theory of the C*-algebra arising from the stable equivalence relation in the Smale space associated to a substitution tiling, and give detailed computations for one- and two-dimensional examples. We prove that for one-dimensional tilings the group K-0 is always torsion free and give an example of a two-dimensional tiling such that K-0 has torsion. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：998 / 1019

页数：22

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