A method for producing and processing a cylindrical hollow body (20) made of aluminum or an aluminum alloy and for arranging cylindrical hollow body (20) in a motor vehicle transmission includes producing the hollow body (20) by a casting process (1) in such a way that the hollow body (20) has an inner and an outer lateral surface (21, 22) and has internal toothing (24) on the inner lateral surface (21), and centrally clamping the hollow body (20) for processing. The hollow body (20) is arranged in the vehicle transmission exclusively via tooth flanks of the internal toothing (24) (6). The hollow body (20) is clamped centrally (2) exclusively on a partial region (23) of the inner lateral surface (21), away from the internal toothing (24).