2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139724We show that if the connected sum of two knots with coprime Alexander polynomials has vanishing von Neumann rho-invariants associated with certain metabelian representations then so do both knots. As an application, we give a new example of an infinite family of knots which are linearly independent in the knot concordance group.8 pages, 1 figureGeometric Topology57M25 (Primary) 57N70 (Secondary)Polynomial splittings of metabelian von Neumann rho-invariantstext