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Contemporary Mathematics The Universal A-Dynamical System


Contemporary Mathematics

The Universal A-Dynamical System

William Arveson

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*


Source: Arveson, William - Department of Mathematics, University of California at Berkeley


Collections: Mathematics