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We prove that if E and F are large ideals of B(G) for which the associated coaction functors are exact, then the same is true for E ∩ F . We also give an example of a coaction functor whose restriction to the maximal coactions does not come from any large ideal.doi:10.1090/proc/13100 fatcat:h73yccrgxjex3mpe4jhmew4b2q