2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157982We show that any compact group can be realized as the outer automorphism group of a factor of type II_1. This has been proved in the abelian case by Ioana, Peterson and Popa applying Popa's deformation/rigidity techniques to amalgamated free product von Neumann algebras. Our methods are a generalization of theirs.Minor misprints corrected, final versionOperator Algebrastext