Geodesic
A note on the nuclear dimension of Cuntz–Pimsner $C^*$-algebras associated with minimal shift spaces
Canadian journal of mathematics, Tome 76 (2024) no. 1, pp. 104-125

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DOI

For every minimal one-sided shift space X over a finite alphabet, left special elements are those points in X having at least two preimages under the shift operation. In this paper, we show that the Cuntz–Pimsner $C^*$-algebra $\mathcal {O}_X$ has nuclear dimension $1$ when X is minimal and the number of left special elements in X is finite. This is done by describing concretely the cover of X, which also recovers an exact sequence, discovered before by Carlsen and Eilers.
DOI : 10.4153/S0008414X22000645
Mots-clés : Cuntz–Pimsner algebras, nuclear dimension, minimal shift spaces 
He, Zhuofeng; Wei, Sihan. A note on the nuclear dimension of Cuntz–Pimsner $C^*$-algebras associated with minimal shift spaces. Canadian journal of mathematics, Tome 76 (2024) no. 1, pp. 104-125. doi: 10.4153/S0008414X22000645
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     title = {A note on the nuclear dimension of {Cuntz{\textendash}Pimsner} $C^*$-algebras associated with minimal shift spaces},
     journal = {Canadian journal of mathematics},
     pages = {104--125},
     year = {2024},
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