Cuntz-Pimsner C*-algebras associated with subshifts

Toke Meier Carlsen

doi:10.1142/S0129167X0800456X

Cuntz-Pimsner C*-algebras associated with subshifts

Operator Algebras 2009-03-13 v2 Dynamical Systems

Authors: Toke Meier Carlsen

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Abstract

By using C*-correspondences and Cuntz-Pimsner algebras, we associate to every subshift (also called a shift space) $X$ a C*-algebra $O_X$ , which is a generalization of the Cuntz-Krieger algebras. We show that $O_X$ is the universal C*-algebra generated by partial isometries satisfying relations given by $X$ . We also show that $O_X$ is a one-sided conjugacy invariant of $X$ .

Keywords

c*-correspondences cuntz-pimsner algebras subshifts partial isometries conjugacy invariant

Cite

@article{arxiv.math/0505503,
  title  = {Cuntz-Pimsner C*-algebras associated with subshifts},
  author = {Toke Meier Carlsen},
  journal= {arXiv preprint arXiv:math/0505503},
  year   = {2009}
}

Comments

28 pages. This is a slightly updated version of a preprint from 2004. Submitted for publication. In version 2 the Introduction has been changed, two remarks (Remark 7.6 and 7.7) have been added and the list of references has been updated

Cuntz-Pimsner C*-algebras associated with subshifts

Abstract

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