Abstract: Exhaust-gas aftertreatment equipment for an internal combustion engine has a secondary air pump, the delivery pipeline of which discharges into the exhaust system of the internal combustion engine and in which a check valve is disposed. In order to avoid hot exhaust gases flowing back in the event of a defect in the check valve, a heat sensor, which switches the secondary air pump on when a particular temperature is exceeded, is disposed in the air-delivery pipeline. The air, so delivered, mixes with the hot exhaust gases and this mixture is introduced into the exhaust gas system during the negative pressure phases of the exhaust system.