Continuous orbit equivalence, flow equivalence of Markov shifts and circle actions on Cuntz-Krieger algebras

被引：19

作者：

Matsumoto, Kengo ^{[1
]}

机构：

[1] Joetsu Univ Educ, Dept Math, Joetsu 9438512, Japan

来源：

MATHEMATISCHE ZEITSCHRIFT | 2017年 / 285卷 / 1-2期

关键词：

STABLE ISOMORPHISM; HOMOLOGY;

D O I：

10.1007/s00209-016-1700-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We will study circle actions on Cuntz-Krieger algebras trivially acting on its canonical maximal abelian -subalgebras from the view points of continuous orbit equivalence of one-sided topological Markov shifts and flow equivalence of two-sided topological Markov shifts.

引用

页码：121 / 141

页数：21

共 4 条

[1] Continuous orbit equivalence of topological Markov shifts and Cuntz-Krieger algebras
Matsumoto, Kengo
Matui, Hiroki
KYOTO JOURNAL OF MATHEMATICS, 2014, 54 (04) : 863 - 877
[2] CLASSIFICATION OF CUNTZ-KRIEGER ALGEBRAS BY ORBIT EQUIVALENCE OF TOPOLOGICAL MARKOV SHIFTS
Matsumoto, Kengo
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (07) : 2329 - 2342
[3] RELATIVE MORITA EQUIVALENCE OF CUNTZ-KRIEGER ALGEBRAS AND FLOW EQUIVALENCE OF TOPOLOGICAL MARKOV SHIFTS
Matsumoto, Kengo
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 370 (10) : 7011 - 7050
[4] TOPOLOGICAL CONJUGACY OF TOPOLOGICAL MARKOV SHIFTS AND CUNTZ-KRIEGER ALGEBRAS
Matsumoto, Kengo
DOCUMENTA MATHEMATICA, 2017, 22 : 873 - 915

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