An elevator system has a rail system and a shaft door assembly on each of a plurality of floors of a building. The rail system has an electrically conductive guide rail that extends along the plurality of floors and guides a vertically movable component of the elevator system, and an electrically conductive bracket on each of the floors anchoring the guide rail to a wall of the building. The guide rail is electrically conductively connected to each of the brackets. Each shaft door assembly has a movable shaft door for openable closing of a shaft opening of the floor and an associated control device and/or drive device for moving the shaft door; wherein the control device and/or drive device is supplied with electrical energy via two electrically conductive paths with a first of the electrically conductive paths being formed over at least parts of the rail system.