I've never heard of this kind of thing happening. Being charged twice could possibly be an accident, but three times? And the other charges are outright theft.

I trust you've reported this to the local police. Contacting your credit-card company will get you off the hook, but you really should also do your part towards locking these people up and preventing them from continuing. I'm sure that other restaurateurs would be anxious to nip this kind of activity in the bud, and that law-abiding Indian-Americans would want to protect their image and disavow these criminals as well.