Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinite-Dimensionality in Quantum Foundations: W*-algebras as
  Presheaves over Matrix Algebras   In this paper, W*-algebras are presented as canonical colimits of diagrams of
matrix algebras and completely positive maps. In other words, matrix algebras
are dense in W*-algebras.

22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
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
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas