A turbocharger turbine which has a wastegate slide sleeve (8), which is provided in a wastegate arrangement (5) and which closes off the wastegate duct, as a shut-off element. The wastegate arrangement (5) comprises a bypass duct (6) which runs in the turbine housing (2); a wastegate duct (7) which runs in the turbine housing (2) to the turbine housing outlet (4) and which is connected via the bypass duct (6) to the turbine housing inlet (3); and a shut-off element (8) which is arranged in the turbine housing (2). The shut-off element (8) is provided to open and close the wastegate duct (7) and can be moved by means of an actuating device (9) into an open position and closed position.