Interval maps from Cuntz-Krieger algebras

被引：10

作者：

Ramos, C. Correia ^{[2
]}

Martins, Nuno ^{[1
]}

Pinto, Paulo R. ^{[1
]}

机构：

[1] Inst Super Tecn, Dept Math, Ctr Anal Matemat Geometria & Sistemas Dinam, P-1049001 Lisbon, Portugal

[2] Univ Evora, Dept Math, Ctr Invest Matemat & Aplicacoes, P-7000671 Evora, Portugal

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 374卷 / 02期

关键词：

Interval maps; Cuntz-Krieger algebras; Orbit representations; Aperiodic matrices; REPRESENTATIONS;

D O I：

10.1016/j.jmaa.2010.09.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Markov interval maps f naturally produce transition aperiodic 0-1 matrices with extra features. We characterize the 0-1 matrices that can be realized as Markov transition matrices of interval maps, and parametrize the orbit representations (yielded in Correia Ramos et al. (2008) [2]) of the Cuntz-Krieger algebra O-A obtained from interval maps with the same matrix A. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：347 / 354

页数：8

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