Device for receiving an annular or disc-shaped workpiece on a machine tool , comprising: a upper receiving part , which is designed to receive the workpiece , and a lower receiving part , which is designed to be received in the machine tool , wherein the upper receiving part and the lower receiving part are detachably connected to one another coaxially to a central axis (a), wherein the upper receiving part has a number of actuating elements arranged around the central axis (a), with each of which a radially acting force (r) and/or a radial displacement can be exerted on the workpiece , wherein the actuating elements are actuated by displacement of a pressure fluid, in particular a hydraulic oil, wherein a number of actuators corresponding to the number of actuating elements is arranged in the lower receiving part , with which in each case a defined volume of pressure fluid can be conveyed to in each case one transfer element , wherein a number of transfer elements corresponding to the number of actuating elements is present, wherein each transfer element has a section arranged in the upper receiving part and a section arranged in the lower receiving part , wherein each section has in each case a receiving space for pressure fluid, which is delimited in each case by a transfer element with which a movement of one of the transfer elements caused by the displacement of pressure fluid can be transferred to the other transfer element , and wherein the transfer elements lie against one another, when the upper receiving part and the lower receiving part are connected, on a surface which corresponds to the parting plane between the upper receiving part and the lower receiving part . a upper receiving part , which is designed to receive the workpiece , and a lower receiving part , which is designed to be received in the machine tool , wherein the upper receiving part and the lower receiving part are detachably connected to one another coaxially to a central axis (a), wherein the upper receiving part has a number of actuating elements arranged around the central axis (a), with each of which a radially acting force (r) and/or a radial displacement can be exerted on the workpiece , wherein the actuating elements are actuated by displacement of a pressure fluid, in particular a hydraulic oil, wherein a number of actuators corresponding to the number of actuating elements is arranged in the lower receiving part , with which in each case a defined volume of pressure fluid can be conveyed to in each case one transfer element , wherein a number of transfer elements corresponding to the number of actuating elements is present, wherein each transfer element has a section arranged in the upper receiving part and a section arranged in the lower receiving part , wherein each section has in each case a receiving space for pressure fluid, which is delimited in each case by a transfer element with which a movement of one of the transfer elements caused by the displacement of pressure fluid can be transferred to the other transfer element , and wherein the transfer elements lie against one another, when the upper receiving part and the lower receiving part are connected, on a surface which corresponds to the parting plane between the upper receiving part and the lower receiving part . <EOS>