An antifriction bearing for a turbocharger, which has an outer ring with an annular inner face and an inner ring with an outer face which is parallel to the inner face, and a rolling body cage with a single annular part arranged radially between the outer and inner ring with one cage guiding face which is parallel to the inner face of the outer ring and an inner surface which is parallel to the outer face of the inner ring, and with closed rolling body pockets which are distributed over the circumference and rolling bodies received in the pockets. To provide hydraulic damping and reduced friction, the annular part is provided in the region of the cage guiding face with at least one radial recess outside the rolling body pockets, which can be formed by apertures, cutouts or grooves in the cage guiding face.