The invention relates to systems for influencing and treating the air of at least one room by both tempering and ionizing the supply air. Said systems are characterized particularly in that they ensure high air quality while delivering air in a draft-free and thus comfortable manner. The high air quality is ensured by means of controlled ionization of the supply air while the room temperature is ensured via an air-tempering apparatus. The draft-free and thus comfortable delivery of air is based on at least one chamber-type or hood-type device which forms part of the room and is coupled to thesupply air duct of the at least one room. A wall that separates said device from the room is provided with ports which ensure convection of the tempered supply air into the room, said supply air beinginfluenced using ionization. Said ports are configured such that the tempered air that is influenced using ionization can flow into the room without creating a draft which can be felt by humans and without generating any perceptible noise.