Note on automorphous representations of locally compact groups

An automorphous representation of a group $G$ on a $C^*$-algebra of operators $\mathscr A$ can be extended to an automorphous representation on the yon Neumann algebra $\mathfrak A$, generated by $\mathscr A$ if $\mathfrak A$ is countably decomposable and $G$ is Baire topological space.