Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On von Neumann algebras which are complemented subspaces of B(H)   If there exists a completely bounded projection of B(H) onto a von Neumann
algebra M on H, then M is injective. If there exists a bounded projection and M
is properly infinite, the same conclusion holds.

17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga