2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66470We prove that the relative commutant of a diffuse von Neumann subalgebra in a hyperbolic group von Neumann algebra is always injective. It follows that any non-injective subfactor in a hyperbolic group von Neumann algebra is non-Gamma and prime. The proof is based on C*-algebra theory.6 pages. Minor CorrectionOperator AlgebrasPrimary 46L10; Secondary 20F67text