Not quite what I meant - I meant about continuing the fraud in general. I should have been clearer.
The tour / ticket sales etc are all based on a lie. Anyone who already has a ticket can demand a refund, the promoters are probably going to sue him, the venues might too. The USA allows for punitive damages as well as compensatory ones so that might mean monies on top of refunds and direct costs to the venues.
As most of the people buying the tickets before the exposure would have thought it was his own work he might have to introduce every single tune giving credit to the right person to get away with it. Or redo all the advertising to be "Giacomo plays the music of..."
Unless he takes positive steps at least equal to the original advertising then he would probably be deemed to still be passing off.