To dream that you are a victim of identity theft means that someone in your waking life is taking credit for your work. Alternatively, you may be having this dream because you are experiencing an identity crisis. You feel lost and not sure where you are headed.
Conversely, if you dream that you steal someone else’s identity, then it implies that you are not being true to yourself. Perhaps you are pretending to be someone that you are not in order to fit in. If applicable, consider the significance of the identity of the person you have stolen and the qualities of this person that you admire.