Ergodic properties of noncommutative dynamical systems

In this dissertation we develop aspects of ergodic theory \nfor C*-dynamical systems for which the C*-algebras are allowed \nto be noncommutative. We define four ergodic properties, \nwith analogues in classic ergodic theory, and study C*-dynamical \nsystems possessing these properties. Our analysis will show that, as \nin the classical case, only certain combinations of these properties \nare permissable on C*-dynamical systems. In the second half of \nthis work, we construct concrete noncommutative C*-dynamical \nsystems having various permissable combinations of the ergodic \nproperties. This shows that, as in classical ergodic theory, these \nergodic properties continue to be meaningful in the noncommutative \ncase, and can be useful to classify and analyse C*-dynamical \nsystems.