Abbey has a pending lawsuit. I won't get into all the details, but when he put a chunk of money into the restoration (somewhere on the order of $10 million) there was a provision that he would be repaid if the structure was no longer used to house the fraternity. Those are the broad strokes.
I would, best guess, assume that when Penn State takes over the property, a large chunk of the proceeds will end up being directed back to Abbey - either directly, or after first passing through the custodianship of the national fraternity. But you never know for sure.
The lawsuit between Penn State and the Fraternity - which is the ruling being discussed currently - essentially puts Penn State into a position to "name their price" with regard to taking over the building (There are provisions for an arbitration of sorts if the two sides can't make a deal - but we know how those work - it is essentially Penn State bidding against itself, since no one else can really get involved in the market. Again, that is in broad strokes.)
The fact that Penn State, and anyone associated with Penn State, managed to be held completely without responsibility in the entire affair, given the chronology of the re-opening of the fraternity, is just a stunning example of common sense being inundated and overwhelmed by spin and media frenzy. And now, they will not only remain unencumbered, but will likely reap a sizeable windfall.