Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A correspondence between inverse subsemigroups, open wide subgroupoids
  and Cartan intermediate C*-subalgebras   For a given inverse semigroup action on a topological space, one can
associate an \'etale groupoid. We prove that there exists a correspondence
between the certain subsemigroups and the open wide subgroupoids in case that
the action is strongly tight. Combining with the recent result of Brown et. al,
we obtain a correspondence between the certain subsemigroups of an inverse
semigroup and the Cartan intermediate subalgebras of a groupoid C*-algebra.

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The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex