Rosellis membership in the LA fam was probably established by Chicago top boss Paul Ricca who in turn sent young Roselli on the west coast and allegedly gave him some money. Later Roselli was the only non-member of the Chicago family who went to jail with the Outfits top leadership in 1943 and in 57 he transferred his membership in Chicago. This obviously means that Roselli was always Chicago's guy on the west coast, no matter which familiy he had membership in.

Before going to Vegas, back during the early 1940s Greenbaum was Chicagos guy in Phoenix where he controlled a wire service for the Mob.

Yes, Greenbaum was also associated with Lansky mainly because Bugsy (or the Genovese fam in general, together with their Jewish faction) managed to screw up the Flamingo operation and so this time it was up to the Chicago boys who in turn sent their own guy (Greenbaum) again under Lanskys supervision.

Story goes that Greenbaum brought the struggling casino out of debt within several months, and also continued controlling their bookmaking operations in Arizona. Greenbaum planned to retire to Arizona and rejected offers to run the Riviera for Ricca and Accardo and so Greenbaum's sister-in-law was murdered, which was the main reason for him accepting the job.

Some sources say that Greenbaum was a degenerate gambler and was also a junkie by doing lots og H. And so he allegedly kept some cash from the Vegas scheme and story goes that the Chicago boys were quite aware about the situation.

One source says that Ricca allegedly called for Greenbaum and spared his life mainly because they allegedly made a deal in which Greenbaum was going to give Chicago cash also from his own steal or his own scheme. Dont forget that almost all families at the time invested in Vegas, which according to the source Chicago allegedly had its own scheme going on without the knowledge of the rest of the fams.

When Greenbaum stopped sending cash from the "steal", thats when Marshall Caifano allegedly visited him and almost cut off his head from his neck and also killed his wife in similar fashion. Investigators at the time stated that the killer or killers had steaks for dinner in the same apartment.