2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64612These lectures concern basic aspects of the theory of semigroups of endomorphisms of type $I$ factors that relate to causal dynamics, dilation theory, and the problem of classifying $E_0$-semigroups up to cocycle conjugacy. We give only a few proofs here; full details can be found in the author's upcoming monograph {\em Noncommutative Dynamics and $E$-semigroups}, to be published in the Springer series Monographs in Mathematics.55 pagesOperator AlgebrasProbabilitytext