Twisted actions and the obstruction to extending unitary representations of subgroups

Details Twisted actions and the obstruction to extending unitary representations of subgroups Twisted actions and the obstruction to extending unitary representations of subgroups

2003-09-24

arxiv.org/abs/math/0309396v1

Mathematics

Operator Algebras

Scientific paper

Suppose that $G$ is a locally compact group and $\pi$ is a (not necessarily
irreducible) unitary representation of a closed normal subgroup $N$ of $G$ on a
Hilbert space $H$. We extend results of Clifford and Mackey to determine when
$\pi$ extends to a unitary representation of $G$ on the same space $H$ in terms
of a cohomological obstruction.

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