Distal Actions of Automorphisms of Nilpotent Groups $G$ on Sub_$G$ and Applications to Lattices in Lie Groups

Rajdip Palit, Riddhi Shah

For a locally compact group $G$, we study the distality of the action of automorphisms $T$ of $G$ on ${\mathrm{Sub}}_G$, the compact space of closed subgroups of $G$ endowed with the Ch…