2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61514Akemann and Anderson made a conjecture about ``paving'' projections in finite dimensional matrix algebras which, if true, would settle the well-known Kadison-Singer problem. We falsify their conjecture by an explicit seqence of counterexamples.1 figure in a separate LaTex fileOperator AlgebrasFunctional AnalysisRings and Algebras46L30, 47A30, 15A60text