Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The K-theory of some reduced inverse semigroup C*-algebras   We use a recent result by Cuntz, Echterhoff and Li about the K-theory of
certain reduced C*-crossed products to describe the K-theory of C*_r(S) when S
is an inverse semigroup satisfying certain requirements. A result of Milan and
Steinberg allows us to show that C*_r(S) is Morita equivalent to a crossed
product of the type handled by Cuntz, Echterhoff and Li. We apply our result to
graph inverse semigroups and the inverse semigroups of one-dimensional tilings.

31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
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The categories of this paper are: eess
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs