The Universal A-Dynamical System
Abstract.For any C*-algebra A, an A-dynamical system is a C*-dynamical
system that contains A and can be generated by the images of A under
the semigroup of nonnegative time endomorphisms. There is a universal A-
dynamical system that occupies a position in noncommutative dynamics that
resembles the position of the tangent bundle in commutative dynamics.
We describe an approach to noncommutative dilation theory based on the
universal A-dynamical system, emphasizing the role of continuous free pr*