p-local stable splitting of quasitoric manifolds

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We show a homotopy decomposition of p-localized suspension ΣM₍ₚ₎ of a quasitoric manifold M by constructing power maps. As an application we investigate the p-localized suspension of the projection π from the moment-angle complex onto M, from which we deduce its triviality for p> M/2. We also discuss non-triviality of π₍ₚ₎ and Σ∞π.