We show, by an explicit construction of the relevant Chow-Kunneth projectors, that if X is the quotient of a smooth projective variety by a finite group action and Y is obtained from X by blowing up a finite set of points, then (under appropriate hypotheses) each of Murre’s conjectures holds for Y if and only if it holds for X. The novelty of our approach is that, finite dimensionality of the c...