 
Summary:
Contemporary Mathematics
The Universal ADynamical System
William Arveson
Abstract.For any C*algebra A, an Adynamical 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 Adynamical system, emphasizing the role of continuous free pr*
