After falling to bankruptcy, Chrysler was bailed out by the U.S. government (partly) with a few billion dollars to boot. Saving many jobs, and keeping the economy going. Some cried and whined, but most of the money was paid back.
Fiat has bought most of the remaining shares from the U.S. government, and the shares the Canadian government owned as well. They got a bit of a discount, so hopefully than can run the company well.