Over de classificatie van gelijkwaardige O_2-stabiele ontvankelijke acties van lokaal compacte groepen

This PhD project is situated in the classification theory of C*-dynamical systems up to cocycle conjugacy. Research is conducted on actions of amenable groups on nuclear C*-algebras that tensorially absorb a model action on the Cuntz algebra O_2. The first objective is determine if the induced group action on the ideal lattice is a classification invariant for C*-dynamics of this type. The second objective is to investigate the range of all actions on the ideal lattice of a nuclear C*-algebra that can be realized by a C*-dynamical system.