Consider the following in Swedish:
Mannen har en katt. Hans katt äter sin mat.
My question is, whose food is the cat eating? Is the cat eating the cat's food, or the man's food?
My understanding is that the cat is eating the cat's food, and if I wanted to say the cat is eating the man's food, I would say Hans katt äter hans mat.
Am I correct with either of those phrases? What would be the best way to communicate them in Swedish?