The invention comprises a clutch device having an actuating device, wherein the actuating device has an electrical eddy current brake. The eddy current brake has a brake stator with at least one coil and a brake rotor with a brake region, wherein the brake region has a first layer which is electrically conductive and which has a first lateral face and a second lateral face, the first lateral face facing toward the coil and the second lateral face facing away from the coil. The brake region has a second layer which is magnetic and which is connected to the second lateral face. The invention further comprises a corresponding production method.