In a world where Germany won/survived the second world war (and you can take your pick - an early victory in '42, or managed to grind down the Allies enough to get a peace settlement in '44 or whatever), what would happen with the State of France? If the Allies never set foot in the place or are driven from the Continent, what will the Germans do with it?
Honor/restore the Petaine Regime? Remove occupation forces and allow a new government? Keep troops in place (which might then become Germany's second Vietnam)?