Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: L2-torsion, the measure-theoretic determinant conjecture, and uniform
  measure equivalence   We show an invariance result for the L2-torsion of groups under uniform
measure equivalence provided a measure-theoretic version of the determinant
conjecture holds. The measure-theoretic determinant conjecture is discussed
and, for instance, proved for Bernoulli actions of residually amenable groups.

18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci