Building comprising an air quality control system and a system and method for air quality control

A building comprising at least one living space, separated from an outside space by at least one outer wall, wherein at least one heat exchanger unit with a controllable temperature set point is provided at said at least one outer wall and wherein at least one ventilator is provided for said at least one heat exchanger unit, for forcing air through a heat exchanger of the at least one heat exchanger unit, wherein an air outlet duct is connected to the at least one heat exchanger unit for allowing air to be expelled from the at least one living space through the heat exchanger, such that heat can be exchanged in the heat exchanger between air flowing into the at least one living space and air being expelled from said at least one living space, wherein in said at least one living space at least one sensor unit is provided for assessment of measured CO2 levels and/or measured noise levels and the at least one ventilator and/or the at least one heat exchanger unit is controlled based on said measured CO2 levels or measured noise levels by increasing the ventilator speed and lowering the temperature set point in response to increasing measured CO2 levels or by increasing noise levels and decreasing the ventilator speed and raising the temperature set point in response to decreasing CO2 levels or decreasing measured noise levels, and wherein the at least one ventilator comprises two ventilators, which are provided having opposite directions of rotation and a same air-forwarding direction.