A multi-way valve has an upper part, a lower part and a central part connected to the upper part via an interposing first membrane and the lower part via an interposing second membrane, wherein the upper and lower parts contain recesses on the upper and lower part faces facing the membranes, where a control fluid is introducible into the recesses, the central part contains a pair of openings in regions opposite the recesses on the central part faces lying adjacent to the membranes, where while introducing the control fluid into a recess, the membrane closes respective opposite openings in the central part, and where the membrane otherwise recedes into the recess, thereby releasing the opposite openings, where valve connections are mounted on the upper or lower part such that the central part can have a very thin design while preventing dead regions in the channel systems.