Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On some questions of Eymard and Bekka concerning amenability of
  homogeneous spaces and induced representations   Let $F\subseteq H\subseteq G$ be closed subgroups of a locally compact group.
In response to a 1972 question by Eymard, we construct an example where the
homogeneous factor-space $G/F$ is amenable in the sense of Eymard-Greenleaf,
while $H/F$ is not. (In our example, $G$ is discrete.) As a corollary which
answers a 1990 question by Bekka, the induced representation $\ind_H^G(\rho)$
can be amenable in the sense of Bekka even if $\rho$ is not amenable. The
second example, answering another question by Bekka, shows that
$\ind_H^G(\rho)$ need not be amenable even if both the representation $\rho$
and the coset space $G/H$ are amenable.

22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics