The classification of two-component Cuntz-Krieger algebras

被引：14

作者：

Huang, D

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 124卷 / 02期

关键词：

Cuntz-Krieger algebra; stable isomorphism; topological Markov chain; flow equivalence;

D O I：

10.1090/S0002-9939-96-03079-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Cuntz-Krieger algebras with exactly one nontrivial closed ideal are classified up to stable isomorphism by the Cuntz invariant. The proof relies on Rordam's classification of simple Cuntz-Krieger algebras up to stable isomorphism and the author's classification of two-component reducible topological 0 Markov chains up to flow equivalence.

引用

页码：505 / 512

页数：8

共 11 条

[1] HOMOLOGY FOR ZERO-DIMENSIONAL NON-WANDERING SETS [J].