Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The planar algebra of a fixed point subfactor   We consider inclusions of type $(P\otimes A)^G\subset(P\otimes B)^G$, where
$G$ is a compact quantum group of Kac type acting on a ${\rm II}_1$ factor $P$,
and on a Markov inclusion of finite dimensional $C^*$-algebras $A\subset B$. In
the case $[A,B]=0$, which basically covers all known examples, we show that the
planar algebra of such a subfactor is of the form $P(A\subset B)^G$, with $G$
acting in some natural sense on the bipartite graph algebra $P(A\subset B)$.

34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc