After Kratos' departure to the Norse World, it is believed to be recovering with the mortals now living without the gods due to the power of Hope released to them.
The Greek World is the world of the Greek gods, monsters, and other creatures that dwell and is where the first saga of the God of War series takes place until after Kratos' revenge on Olympus in God of War III where the world was left in ruin and all the Olympians and Titans were killed in the madness.