  From a geometrical point of view it is, so far, not sufficiently well
understood what should be a "noncommutative principal bundle". Still, there is
a well-developed abstract algebraic approach using the theory of Hopf algebras.
An important handicap of this approach is the ignorance of topological and
geometrical aspects. The aim of this thesis is to develop a geometrically
oriented approach to the noncommutative geometry of principal bundles based on
dynamical systems and the representation theory of the corresponding
transformation group.
