The invention relates to a spindle compressor without operating fluid in the working space with a 2-tooth spindle rotor and a 3-tooth spindle rotor in a surrounding compressor housing-and preferably non-parallel rotation axes of the two spindle rotors, in particular for use in compression refrigeration machines. In order to improve the degree of efficiency while providing flexible power adjustment, it is proposed according to the invention that a multi-stage spindle compressor be used as a refrigerant compressor, whose compressor housing and whose spindle rotors are cooled via a partial-flow branch-off of liquid refrigerant from the refrigerant main flow circuit, wherein the compressor housing is cooled in a controlled manner by means of refrigerant evaporation, with the refrigerant vapor being subsequently fed to the inlet, and that, for power adjustment, there are also post-inlet feeds into the working space in addition to the inlet feed, and also pre-outlet discharges in addition to the outlet discharge from the outlet space, each with their own regulating device.