Not sure.
At some schools, the houses are owned by the univ, at some just the land (leased), and others are totally privately owned.
That is why I started the sentence with “If”
“At some schools, the houses are owned by the univ, at some just the land (leased), and others are totally privately owned.”
I was in a frat at Michigan in the 70’s. We owned (actually still own) our house lock, stock, and barrel. It was great. UofM could not touch us. We ignored them and they ignored us. That is the way it should be.
They told us that the secret frat system got started when men wanted to discuss topic that were forbidden on campus. Later, when the universities relaxed a bit, frats became social clubs. I would not be surprised to hear that new organizations have sprung up to serve that purpose that frats were originally conceived for.