Power MOSFET's can be used in Class A, Class AB and Class D amps, so it depends on the amplifier topology.
Class A and Class AB tend to be VFET or HEXFET styles. The HEXFET can also be used in Class D. The Hafler DH/XL series used VFET's along with the MOSCODE amps in the output stage along with Acoustat TNT series amps.
GaN devices are a type of MOSFET. It depends on the amplifier topology, but mainly used for Class D amps. Also SiC devices another type of MOSFET can be used in Class D amps as well.
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