Nonstandard representations of locally compact groups (Q942054)

The paper deals with the imaging of groups. In particular it is shown that any infinite-dimensional unitary representation \(T\) of a direct product of groups \(G=K\times N\), where \(K\) is a compact group and \(N\) is a locally compact Abelian group, is imaged by a representation of the nonstandard analog of the group \(G\) in the group of nonstandard matrices of a fixed nonstandard size.