Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fixed Point Algebras for Easy Quantum Groups   Compact matrix quantum groups act naturally on Cuntz algebras. The first
author isolated certain conditions under which the fixed point algebras under
this action are Kirchberg algebras. Hence they are completely determined by
their $K$-groups. Building on prior work by the second author, we prove that
free easy quantum groups satisfy these conditions and we compute the $K$-groups
of their fixed point algebras in a general form. We then turn to examples such
as the quantum permutation group $S_n^+$, the free orthogonal quantum group
$O_n^+$ and the quantum reflection groups $H_n^{s+}$. Our fixed point-algebra
construction provides concrete examples of free actions of free orthogonal easy
quantum groups, which are related to Hopf-Galois extensions.

17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph