Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Circle correspondence $C^*$-algebras   We investigate Cuntz-Pimsner $C^*$-algebras associated with certain
correspondences of the unit circle $\mathbb{T}$. We analyze these
$C^*$-algebras by analogy with irrational rotation algebras $A_\theta$ and
Cuntz algebras $\mathcal{O}_n$. We construct a Rieffel type projection, study
the fixed point algebras of certain actions of finite groups, and calculate the
entropy of a certain endomorphism. We also study the induced map of the dual
action of the gauge action on $K$-groups.

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The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs