When Krishna discusses detached actions he is talking about transcending actions. Krishna tells Arjuna that actions should only affect physical things. Thusly, because one should be detached from physical things in order to reach inner peace, one must have detachment in actions as well. Your soul should transcend the material would and not be affected by actions. Krishna says: "When a man is unattached and free, his reason deep in knowledge, acting only in sacrifice, his action is wholly dissolved."(54).

This says that any action taken should be for the soul, like sacrifice. He says "Many forms of sacrifice expand toward the infinite spirit; know that the source of them all is action, and you will be free." (55). Krishna is saying that only if one is disciplined and comes to detach oneself from physical action that they will be able to freed from the physical world. Actions taken should only be out of duty, not for yourself. Because it is not for yourself that you carry out these actions, it is others. Krishna wants people to detach themselves from the physical world so their soul is free to be at peace with itself.