On a family of C*-subalgebras of Cuntz-Krieger algebras

被引：2

作者：

Matsumoto, Kengo ^{[1
]}

机构：

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

来源：

ACTA SCIENTIARUM MATHEMATICARUM | 2022年 / 88卷 / 3-4期

关键词：

topological Markov shift; Cuntz-Krieger algebra; AF-algebra; etale groupoid; gauge action; CONTINUOUS ORBIT EQUIVALENCE; TOPOLOGICAL MARKOV SHIFTS; FLOW EQUIVALENCE; FULL GROUPS;

D O I：

10.1007/s44146-022-00047-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a family of C*-subalgebras defined by fixed points of generalized gauge actions of a Cuntz-Krieger algebra by introducing a family of etale groupoids whose associated C*-algebras are these C*-subalgebras. We show that topological conjugacy classes of one-sided topological Markov shifts are characterized in terms of the isomorphism classes of these etale groupoids.

引用

页码：739 / 767

页数：29

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