A fully active piezoelectric stack has alternately successive piezoelectric layers and inner electrodes which pass through to the outer side of the stack and each have a first region, which does not adhere or adheres poorly and a second region which adheres well to the coating. The inner electrodes are provided for the purpose of using their first regions to alternately contact-connect a first outer electrode and a second outer electrode. The outer side of the fully active piezoelectric stack is coated with the coating at least in regions which are assigned the outer electrodes. The coating is then removed in regions which border the first regions of the inner electrodes and the two outer electrodes are applied to the remaining coating, with the result that the outer electrodes contact-connect the first regions of the inner electrodes and the coating is otherwise arranged between the inner electrodes and the outer electrodes.