Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the nuclear dimension of Cuntz-Pimsner $C^*$-algebras
  associated with minimal shift spaces   For every 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 thoroughly
the cover of $X$ which also recovers an exact sequence, discovered before by T.
Carlsen and S. Eilers.

11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn