The first time Richard Greeno came to Sin City, it was with a wiseguy. The year was 1967, and a Chicago mobster named Jim owned a furniture store in Frankfort, Ind., where Greeno worked as a salesman.

The Mob Attraction in the Tropicana has won title to most of the collection of Mafia-related artifacts after a court fight with the former owner. Clark County District Judge Joanna Kishner, in a ...