Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A class of II_1 factors with exactly two group measure space
  decompositions   We construct the first II_1 factors having exactly two group measure space
decompositions up to unitary conjugacy. Also, for every positive integer $n$,
we construct a II_1 factor $M$ that has exactly $n$ group measure space
decompositions up to conjugacy by an automorphism.

22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci