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

被引：2

作者：

Carlsen, Toke Meier ^{[2
]}

Silvestrov, Sergei ^{[1
]}

机构：

[1] Lund Univ, Ctr Math Sci, S-22100 Lund, Sweden

[2] Norwegian Univ Sci & Technol NTNU, Dept Math Sci, NO-7491 Trondheim, Norway

来源：

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES | 2010年 / 59卷 / 04期

基金：

瑞典研究理事会;

关键词：

operator algebra; symbolic dynamics; C*-algebras; shift spaces; C*-correspondences; Cuntz-Pimsner C*-algebras; K-theory of C*-algebras; SUBSHIFTS;

D O I：

10.3176/proc.2010.4.04

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

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.

引用

页码：272 / 279

页数：8

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