In order to further improve the sound damping in a refrigerant compressor comprising a common housing, a screw-type compressor in a common housing has a compressor housing that is formed as part of the common housing with a first sound absorber unit which is arranged in the common housing. The first sound absorber unit is arranged adjacent a housing window, and the sound absorber unit comprises at least one chamber which is located between an inlet opening and an outlet opening and which widens out relative to the inlet opening and to the outlet opening in a direction transverse to a direction of flow.