Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A characterization of relative Kazhdan Property T for semidirect
  products with abelian groups   Let A be a locally compact abelian group, and H a locally compact group
acting on A. Let G=HA be the semidirect product. We prove that the pair (G,A)
has Kazhdan's Property T if and only if the only countably approximable
H-invariant mean on the Borel subsets of the Pontryagin dual of A, supported at
the neighbourhood of the trivial character, is the Dirac measure.

26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas