Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized $q$-Gaussian von Neumann algebras with coefficients, III.
  Unique prime factorization results   We prove some unique prime factorization results for tensor products of type
$II_1$ factors of the form $\Gamma_q(\mathbb{C}, S \otimes H)$ arising from
symmetric independent copies with sub-exponential dimensions of the spaces
$D_k(S)$ and dim$(H)$ finite and greater than a constant depending on $q$.

16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph