A compressor for refrigerant, comprising a housing and a scroll compressor including a first compressor body in a stationary position in the housing, and a second compressor body which can move relative to the first compressor body. A drive for the second compressor body has a drive motor. A rear-side cooling chamber is arranged between the rear side of the first compressor body and a partition of the housing, which runs at a spacing from the rear side. At least one aperture in the base of the first compressor body is configured to cool the first compressor body in the region of the rear side. The second compressor body is configured to enable the refrigerant to wash around the compressor body in the region of the rear side, remote from the scroll ribs, to cool the second compressor body.

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