Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Flat extensions in *-algebras   The main result of the paper is a flat extension theorem for positive linear
functionals on *-algebras. The theorem is applied to truncated moment problems
on cylinder sets, on matrices of polynomials and on enveloping algebras of Lie
algebras.

29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics