In an exhaust-gas turbine of an exhaust-gas turbo-charger including a turbine wheel which is rotatably supported in a housing and to which exhaust gas can be supplied via an inlet channel and discharged out of the exhaust-gas turbine via an outlet duct, wherein a guide vane structure and an axial slide which interacts with the latter, are disposed in the turbine inlet at the transition from the inlet channel to the turbine wheel, the guide vane structure is fixedly mounted with respect to the housing and the axial slide is arranged at the turbine outlet side and is movably supported on an outlet duct contour sleeve and provided with an axial opening for accommodating the guide vane structure, and the contour sleeve includes openings which conduct exhaust gas from the inlet channel directly to the outlet duct and which are arranged so that they are covered by the axial slide when the axial slide is moved out of its open position, the guide vane structure extending axially over the contour sleeve openings so as to impart a swirl to the exhaust gas being discharged via the contour sleeve openings when the slide member is in an open position.