All Questions

Is there an example of $G$, $\rho$ as below? $G$ is a locally compact group. $\rho$ is an irreducible continuous representation of $G$ on a complex Hilbert space $V$. This means that we have a ...

Recall that a locally compact group $G$ is said to be an $[FC]^-$ group, if each conjugacy class in $G$ has a compact closure; an $[SIN]$ group, if each neighborhood of the identity includes a ...

It seems to me that the statement below should be true but I would like to double-check. Statement: Let $H$ be a (separable) complex Hilbert space and consider its associated unitary group $U(H)$ ...