Apparatus for cooling charge air and method of operating such an apparatus

The turbocharger has a first cooling stage and the cooling device has at least one second cooling stage. The cooling device has a coolant circuit with an evaporator forming part of the coolant circuit. The cooling device can have a refrigerant circuit and a radiator can be arranged before and/or after the evaporator. AN Independent claim is also included for the following: a method of cooling charging air for a motor vehicle turbocharger.