Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak amenability of free products of hyperbolic and amenable groups   We show that, if $G$ is an amenable group and $H$ is a hyperbolic group, then
the free product $G\ast H$ is weakly amenable. A key ingredient in the proof is
the fact that $G\ast H$ is orbit equivalent to $\mathbb{Z}\ast H$.

11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ