Topology of unitary dual of nonarchimedean GL(n) (Q1118050)

Let G be a locally compact group. The set of all equivalence classes of irreducible unitary representations of G is denoted by \(\hat G.\) The set \(\hat G\) is called the unitary dual of G and it carries a natural topology. Let F be a local nonarchimedean field. In this paper we consider properties of the representation theory of GL(n,F)-groups related to the topology of the unitary dual of GL(n,F). The main results of this paper are: classification of all isolated points modulo center in \(GL(n,F)^{\wedge}\), description of composition factor of ends of complementary series representations and description of \(GL(n,F)^{\wedge}\) as (abstract) topological space.