Reducibility of covers of AFT shifts

被引：5

作者：

Bates, Teresa ^{[1
]}

Eilers, Soren ^{[2
]}

Pask, David ^{[3
]}

机构：

[1] Univ New S Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

[2] Dept Math Sci, DK-2100 Copenhagen O, Denmark

[3] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, Australia

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2011年 / 185卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

C-ASTERISK-ALGEBRAS; SOFIC SYSTEMS; FINITE-TYPE; SUBSHIFTS; PRESENTATIONS; EQUIVALENCE; GRAPHS; CODES;

D O I：

10.1007/s11856-011-0107-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we show that the reducibility structure of several covers of sofic shifts is a flow invariant. In addition, we prove that for an irreducible subshift of almost finite type the left Krieger cover and the past set cover are reducible. We provide an example which shows that there are non almost finite type shifts which have reducible left Krieger covers. As an application we show that the Matsumoto algebra of an irreducible, strictly sofic shift of almost finite type is not simple.

引用

页码：207 / 234

页数：28

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