2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134716We prove that an arbitrary (not necessarily countably generated) Hilbert $G$-$\cla$ module on a G-C^* algebra $\cla$ admits an equivariant embedding into a trivial $G-\cla$ module, provided G is a compact Lie group and its action on $\cla$ is ergodic.revised substantially, by correcting a wrong argument, pointed out by an anonymous referee (thanks to him/her for this!)Operator Algebrastext