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We study injective modules over an EI-category and present their complete description. Given a G-disconnected simplicial set X let O(G, X) be the EI-category with one object for each connected component of its fixed point simplicial subsets with respect to all subgroups of G. We show that the associated O(G, X)-system. of de Rham algebras is componentwise injective. Finally, an equivariant de Rham theorem for G-disconnected simplicial sets is derived.
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