In order to optimise a compressor, including a compressor housing, a scroll compressor unit that is arranged in the compressor housing and has a first compressor body and a second compressor body that is movable in relation to the first compressor body, an axial guide that supports the movable compressor body to prevent movements in the direction parallel to the centre axis of the stationary compressor body and, in the event of movements, guides it in the direction transverse to the centre axis, parallel to a plane perpendicular to the centre axis, an eccentric drive for the scroll compressor unit, wherein the eccentric drive has an entrainer that is driven by the drive motor, that revolves on a path about the centre axis and that, for its part, cooperates rotatably with an entrainer receptacle in the second compressor body, and a coupling that prevents the second compressor body from rotating freely, it is proposed that the axial guide should have a carrier element, which serves as a base for supporting a compressor body base, which carries the scroll vane, of the second compressor body against an axial support face, that the axial support face should be arranged radially outward of the entrainer, and that the coupling that prevents free rotation should have at least two coupling element sets that, for their part, include at least two coupling elements, and that the coupling element sets should be arranged radially outward of the axial support face.