Ergodic actions with generalized discrete spectrum

The investigation of extensions in the theory of ergodic actions of locally compact groups was undertaken by the author in In particular, we considered the notion of extensions with relatively discrete spectrum, and saw how the classical von Neumann-Halmos theory of transformations with discrete spectrum could be generalized to the case of extensions. In this paper, which is a sequel to [26], we study those actions which can be built up from a point by taking extensions with relatively discrete spectrum and inverse limits.