Cuntz-Pimsner C*-algebras associated with subshifts

Details Cuntz-Pimsner C*-algebras associated with subshifts Cuntz-Pimsner C*-algebras associated with subshifts

2005-05-24

arxiv.org/abs/math/0505503v2

Internat. J. Math. 19 (2008), no. 1, 47-90.

Mathematics

Operator Algebras

28 pages. This is a slightly updated version of a preprint from 2004. Submitted for publication. In version 2 the Introduction

Scientific paper

10.1142/S0129167X0800456X

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 $X$.

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