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 (9, 10) has in each case a receiving space (11, 12) for pressure fluid, which is delimited in each case by a transfer element (13, 14) 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 (13, 14) 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 (9, 10) has in each case a receiving space (11, 12) for pressure fluid, which is delimited in each case by a transfer element (13, 14) 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 (13, 14) 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.