Besides automorphism groups of trees and buildings, I was wondering if the lattices in general totally disconnected locally compact groups have been studied in the literature? I appreciate if you introduce some references.

If you are acquainted with the structure theory of totally disconnected groups (due to George Willis), does this theory says anything about lattices in TDLC groups?

More generally, I am interested to know if there is a strategy to generalize certain results (as the above inquiry) from the automorphism groups of trees to the more general totally disconnected groups.