2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126567We review recent progress in operator algebraic approach to conformal quantum field theory. Our emphasis is on use of representation theory in classification theory. This is based on a series of joint works with R. Longo.For the Proceedings of ICMP (Rio de Janeiro, 2006).Mathematical PhysicsOperator Algebrastext