Cabin management system for an aircraft comprising: a functional unit; a control unit for controlling the functional unit; and a display arrangement for displaying a three-dimensional virtual scenario, which display arrangement is adapted for transmitting control commands to the control unit for operating the functional unit; wherein the display arrangement comprises: a display element; and a position detection unit (130, 140, 150) for detecting the position of an input element of an operator, which input element is adapted for interacting with the three-dimensional virtual scenario; wherein the display element is adapted for displaying a three-dimensional virtual object; wherein the position detection unit (130, 140, 150) is interconnected with the control unit to transmit the position of the input element to the control unit; wherein the control unit is adapted to compare the position of the input element in the three-dimensional virtual scenario with the virtual position of the three-dimensional virtual object; wherein the control unit is adapted to provide a control command to the functional unit which control command is assigned to a status of the three-dimensional virtual object which is selected by the input element, characterized in that the position detection unit comprises a transparent touch element for detecting the position of the input element when touching a surface of the touch element with the input element; and wherein the touch element is arranged within the three-dimensional virtual scenario spaced apart from the display element. a functional unit; a control unit for controlling the functional unit; and a display arrangement for displaying a three-dimensional virtual scenario, which display arrangement is adapted for transmitting control commands to the control unit for operating the functional unit; wherein the display arrangement comprises: a display element; and a position detection unit (130, 140, 150) for detecting the position of an input element of an operator, which input element is adapted for interacting with the three-dimensional virtual scenario; a display element; and a position detection unit (130, 140, 150) for detecting the position of an input element of an operator, which input element is adapted for interacting with the three-dimensional virtual scenario; wherein the display element is adapted for displaying a three-dimensional virtual object; wherein the position detection unit (130, 140, 150) is interconnected with the control unit to transmit the position of the input element to the control unit; wherein the control unit is adapted to compare the position of the input element in the three-dimensional virtual scenario with the virtual position of the three-dimensional virtual object; wherein the control unit is adapted to provide a control command to the functional unit which control command is assigned to a status of the three-dimensional virtual object which is selected by the input element, characterized in that the position detection unit comprises a transparent touch element for detecting the position of the input element when touching a surface of the touch element with the input element; and wherein the touch element is arranged within the three-dimensional virtual scenario spaced apart from the display element.