A sorption unit for air-conditioning technology apparatus with sheets for heat emission, past which water vapor is passed. The sheets are provided with zeolite bodies which are designed to have surface contact with the sheets. Channels for vapor passage are defined between bodies arranged one beside the other. Lateral grooves are formed on the top and bottom surfaces of the zeolite bodies for communicating water vapor from the surface of the zeolite bodies to the channels. A buffer section and a condenser/evaporator unit complete the sorption unit to form an air-conditioning system.