Filigree ceiling as a prefabricated part for the production of a building, wherein the prefabricated part has a filigree concrete ceiling and a fixedly mounted ceiling valve adaptor for a ventilation network for a building, wherein the ceiling valve adapter is fixedly anchored in the filigree concrete ceiling at the factory when producing the prefabricated part and is mounted fully positioned, characterised in that a) the filigree concrete ceiling has a lower reinforcement set in concrete therein and an upper reinforcement resting on it; b) the ceiling valve adapter is formed as a concrete construction element with a concrete block; c) the concrete block of the ceiling valve adapter is formed as a fibre concrete block or lightweight concrete block; d) the concrete block has at least one passage chamber having at least one attachment opening or several attachment openings for attaching a conduit of a transverse distribution of the ventilation network and at least one support for receiving a valve; e) the ceiling valve adapter with its concrete block is fixedly anchored at the factory when producing the prefabricated part and is mounted fully positioned in such a way that - the at least one attachment opening of the concrete block for attaching the conduit of the transverse distribution is or are arranged to protrude beyond the upper side of the filigree concrete ceiling, and the support for receiving the valve is arranged to engage through the filigree concrete ceiling, and - the concrete block of the ceiling valve adapter is set at least in sections in concrete in the filigree concrete ceiling when producing the prefabricated part by the support of the ceiling valve adapter being set in concrete in the filigree concrete ceiling when producing the prefabricated part. a) the filigree concrete ceiling has a lower reinforcement set in concrete therein and an upper reinforcement resting on it; b) the ceiling valve adapter is formed as a concrete construction element with a concrete block; c) the concrete block of the ceiling valve adapter is formed as a fibre concrete block or lightweight concrete block; d) the concrete block has at least one passage chamber having at least one attachment opening or several attachment openings for attaching a conduit of a transverse distribution of the ventilation network and at least one support for receiving a valve; e) the ceiling valve adapter with its concrete block is fixedly anchored at the factory when producing the prefabricated part and is mounted fully positioned in such a way that - the at least one attachment opening of the concrete block for attaching the conduit of the transverse distribution is or are arranged to protrude beyond the upper side of the filigree concrete ceiling, and the support for receiving the valve is arranged to engage through the filigree concrete ceiling, and - the concrete block of the ceiling valve adapter is set at least in sections in concrete in the filigree concrete ceiling when producing the prefabricated part by the support of the ceiling valve adapter being set in concrete in the filigree concrete ceiling when producing the prefabricated part. - the at least one attachment opening of the concrete block for attaching the conduit of the transverse distribution is or are arranged to protrude beyond the upper side of the filigree concrete ceiling, and the support for receiving the valve is arranged to engage through the filigree concrete ceiling, and - the concrete block of the ceiling valve adapter is set at least in sections in concrete in the filigree concrete ceiling when producing the prefabricated part by the support of the ceiling valve adapter being set in concrete in the filigree concrete ceiling when producing the prefabricated part.