Consider this logic: Are you the thinker of your thoughts? Clearly not because it’s not as if you are sitting in your mind and choosing the thoughts you think. Thoughts just pop into your head, and you keep thinking and feeling that you are the thinker of those thoughts, though clearly that is not the case. Thoughts are dependent on the whole of your biological past and past life experiences and knowledge that have made you into the person you are today, or more specifically, the way they have conditioned your mind to be the way it is in the present, AND the environmental cues and influences impinging on you in the present and interacting with your mind. It is this interaction between your mind conditioned by the past and the present environment in which it finds itself that determines what thoughts are produced in your mind, in which you as a person have no say. Thus, if you are not the thinker of your thoughts how can you be the doer of your actions, because it is thoughts that determine and drive your actions.
False Sense of Doership
Sense of Doership
Ramakrishna Paramahansa on the Sense of Doership
Ramana Maharshi on Sense of Doership, Karma and Karma Yoga
Bhagavad Gita on the Sense of Doership
Know Thyself 