This happened a while ago, but I still don't know how the scam was supposed to work.
Someone opened a Fingerhut account in my name and had an air conditioning wall-unit shipped to me. Fortunately, I didn't open the box, and after doing some research, I refused delivery.
I suspect that somehow Fingerhut was involved, maybe an employee working on commission was hoping that maybe I wouldn't want to pay for the shipping to return it.