Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse semigroups associated to subshifts   The dynamics of a one-sided subshift $\mathsf{X}$ can be modeled by a set of
partially defined bijections. From this data we define an inverse semigroup
$\mathcal{S}_{\mathsf{X}}$ and show that it has many interesting properties. We
prove that the Carlsen-Matsumoto C*-algebra $\mathcal{O}_\mathsf{X}$ associated
to $\mathsf{X}$ is canonically isomorphic to Exel's tight C*-algebra of
$\mathcal{S}_{\mathsf{X}}$. As one consequence, we obtain that
$\mathcal{O}_\mathsf{X}$ can be written as a partial crossed product of a
commutative C*-algebra by a countable group.

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The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
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The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs