In a compressor for refrigerant having a suction inlet for refrigerant and a pressure outlet for compressed refrigerant, said compressor comprising a compression unit and an electric motor driving said compression unit, said electric motor being a synchronous reluctance motor having a stator and a rotor, said rotor comprising a plurality of stacked disc elements, each disc element having a plurality of flux barriers configured to give the rotor core an anisotropic magnetic structure and formed as apertures in said disc element, it is provided that said flux barriers are arranged in said rotor core to define channels enabling a flow of refrigerant through said rotor core, said rotor is provided with a first support element acting on a first front side of said rotor core and a second support element acting on a second front side of said rotor core, said support elements being provided with cut-out sections and said cut-out sections being designed to uncover at least 70% of the cross section of apertures defined by said flux barriers in the respective disc element forming the respective front side of said rotor core.