Wasn't Roth jumping the gun a little if he wanted to lure Michael to Havana? Maybe he figure the hit in Tahoe would work and gave the Rosatos a premature "go ahead"
That whole thing is troublesome. Michael told Roth in Miami, before he left for Havana, that "Frank Pentangeli is a dead man." Roth no doubt rejoiced: Michael believed that Pentangeli was behind the Tahoe shooting. But, when Michael dispatched Pentangeli to "settle these problems with the Rosato brothers," it proved that he didn't suspect Frankie after all--meaning he might suspect Roth. So, Roth gave the Rosatos the go-ahead to kill Frankie.
BUT: Why did Michael send Pentangeli to settle up with the Rosatos when, by that time, he knew Roth was behind the Tahoe shooting? Perhaps he was still playing out his fiction of trying to make Roth relax until he could find out who the traitor was. Or, he may have looked at it as a "win-win" for him: If Pentangeli did settle with the Rosatos, it'd be one more problem he didn't have to worry about in NYC. If the Rosatos killed Pentangeli, it'd confirm that Roth was behind the Tahoe shooting. Either way, the logic isn't strong.
