An exhaust-gas purification system for the exhaust gases of an internal combustion engine (2) of a motor-vehicle comprising a converter shell (6) that is arranged in the exhaust-gas system closely coupled to an engine outlet and includes a first oxidation catalyst (7) that is not part of an underfloor area of the motor vehicle, and a hydrocarbon adsorber (4) having up to 0.1 g/L platinum on the hydrocarbon adsorber, wherein the platinum minimizes coking of the hydrocarbon adsorber and the hydrocarbon adsorber is arranged closely upstream of a particulate filter (5) in the underfloor area of the motor vehicle and downstream of the converter shell (6) wherein (i) the particulate filter is a wall flow filter, which is coated with a second oxidation catalyst on an entry side thereof, and (ii) the hydrocarbon adsorber and the wall flow filter are both disposed in one converter housing, wherein the particulate filter is separated from the hydrocarbon adsorber, and the engine comprises a diesel engine.