Registration (10, 56) for the heating and / or cooling of a room comprising first composite tubes and second composite tubes (12, 14, 16, 18, 20) connected with them, which are constituted of plastic, respectively, with a diffusion barrier layer and a permeation barrier layer (30, 32), respectively, against oxygen, characterized in that the first and the second composite tube (12, 14, 16, 18, 20) are, respectively, a square tube molded by extrusion, because the square tube has an outer layer (26, 28) that is constituted of polypropylene or contains it and an inner layer (22, 24) that is constituted of polypropylene or contains it, among which extends the barrier layer (30, 32) that is constituted of plastic or that contains plastic, and because for the union of the second composite tube with the first composite tube, the second composite tube is rounded on the end side and is inserted and welded in the ta ladders configured in the first composite tubes (12, 14) or the second composite tube is surrounded at its end connected to the first tube composed of a bushing (42, 44), which has on the outer side a conical shape with greater cross section in the junction zone with the first composite tube.
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