Soon after we meet Tony Vallelonga in “Green Book,” the Italian American man tosses out a pair of water glasses because black repairmen drank out of them. His wife fishes them out of the trash can. But by the end of the movie, which follows Tony as he chauffeurs acclaimed jazz pianist Dr. Don Shirley through the Jim Crow South for a two-month concert tour, Tony is the one inviting the black man into his home.