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Cuntz-Pimsner C*-algebras associated with subshifts

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 $X$.

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Toke Meier Carlsen. 2005-11-16. Cuntz-Pimsner C*-algebras associated with subshifts. https://doi.org/10.1142/s0129167x0800456x

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