A heat exchanger assembly, by means of which compressed charge air for an internal combustion engine is cooled by way of a liquid, includes a housing with a heat exchanger that has a stack of pairs of plates and fins which are arranged between the pairs, and has two longitudinal sides and two transverse sides. Flow plates are arranged in the plate pairs and, toward the longitudinal sides, expose in each case one edge channel within the plate pairs. An inlet and an outlet are connected to the edge channels, and a liquid flows through the flow plates between the edge channels, the liquid flowing in counterflow with respect to the charge air which flows in on one side of the housing, through the fins, and leaves the housing again on an opposite other side.