Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable orbit equivalence of Bernoulli actions of free groups and
  isomorphism of some of their factor actions   We give an elementary proof for Lewis Bowen's theorem saying that two
Bernoulli actions of two free groups, each having arbitrary base probability
spaces, are stably orbit equivalent. Our methods also show that for all compact
groups K and every free product \Gamma of n infinite amenable groups, the
factor K^{\Gamma}/K of the Bernoulli action of \Gamma on K^{\Gamma} by the
diagonal action of K, is isomorphic with a Bernoulli action of \Gamma.

31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex