Cuntz-Krieger algebras representations from orbits of interval maps

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:341

Article

Ramos, C. Correia²  Martins, Nuno¹  Pinto, Paulo R.¹  Ramos, J. Sousa¹ 

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

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

关键词: interval maps;    generalized orbits;    Cuntz-Krieger algebras;    irreducible representations;   

DOI  :  10.1016/j.jmaa.2007.10.059

来源: Elsevier

【 摘 要 】

Let f be an expansive Markov interval map with finite transition matrix A(f). Then for every point, we yield an irreducible representation of the Cuntz-Krieger algebra O-Af and show that two such representations are unitarily equivalent if and only if the points belong to the same generalized orbit. The restriction of each representation to the gauge part Of OAf is decomposed into irreducible representations, according to the decomposition of the orbit. (C) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free