2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64850Notions of topological free entropy and of free capacity are introduced in the $C^*$-algebra context. Basic properties, basic problems and connections to potential theory and random matrix theory are discussed.14 pagesOperator AlgebrasPrimary: 46L54; Secondary: 15A52, 31A15, 46L05, 94A17text