From what I understand the PRC tries pretty hard to provide a lot of incentives to academic returnees. I do wonder if they have a tenure match program, where if you have tenure at an American university of a given calibre you are automatically granted tenure at a Chinese university of a similar calibre if you return to China. They probably should.
Oh, no. I'm not talking about alleged espionage, I'm talking about people moving universities. Moving university doesn't mean disappearing off the face of the Earth.
It is extremely bad form to leave your students stranded and move to another university with no communication. It also wouldn't warrant FBI action; plenty of people have moved back to their home countries from academic positions in the US.