On the K-theory of the C*-algebra associated with a one-sided shift space

Proceedings of the Estonian Academy of Sciences

Sergei Silvestrov¹  Toke Meier Carlsen¹ 

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关键词: operator algebra;    symbolic dynamics;    C*-algebras;    shift spaces;    C*-correspondences;    Cuntz–Pimsner C*-algebras;    K-theory of C*-algebras;   

DOI  :  10.3176/proc.2010.4.04

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

One-sided shift spaces are a special kind of non-invertible topological dynamical system with which one can associate a C*-algebra. We show how to construct the C*-algebra associated with a one-sided shift space as the Cuntz–Pimsner C*-algebra of a C*-correspondence and use this to compute its K-theory.

【 授权许可】

Unknown