Abstract: The invention relates to a compressor (1) for an internal combustion engine of a motor vehicle, comprising an input shaft (2) which drives the compressor (2) and via a switchable electromagnetic clutch can be coupled to a pulley (10) which can be driven by the internal combustion engine. The clutch comprises a friction surface (10′) which is positioned at the face end of the pulley (10), a disk carrier (12) mounted in a non-rotating manner on the input shaft (2) and an annular magnet or toroidal coil system (6) housed in an annular gap (11) or annular recess of the pulley (10) for pressing a disk (15) mounted in a non-rotating manner on the disk carrier (12) against the friction surface (10′). A sleeve (8) is mounted in a non-rotating manner on the input shaft (2), the pulley (10) is rotationally mounted on the sleeve (8) and the disk carrier (12) is flanged to the face end of the sleeve (8).