In a number of recent studies, it has been suggested that a star may accrete matter from a magnetically truncated Keplerian disk without experiencing any significant spin-up torque. Thus, it is asserted that the toroidal field component at the stellar surface is too small to transmit angular momentum from the disk to the star; instead, the material angular momentum at the inner edge of the disk is transported back outward by magnetic stresses acting on the disk. We assess the arguments for "torqueless" accretion and conclude that they are physically unfounded.
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