An adapter piece may be employed to connect a damper tube and an air spring piston in a non-positive manner. The adapter piece may comprise a spring region. The adapter piece may also include a first ring region and a second ring region, and the spring region may be positioned between the first ring region and the second ring region. Further, an air spring damper system may utilize the spring region of such an adapter piece to connect a damper tube and an air spring piston in a non-positive connection. The damper tube may include a bulge with a supporting element positioned on the bulge. The adapter piece may lie on the supporting element.