Résume | It has been a long-standing problem in the classification theory of C*-algebras to find sufficient conditions for a topological dynamical system to give rise to a classifiable crossed product. To address this problem, in 2015 Kerr introduced the notion of almost finiteness and showed that it implies Z-stability of the crossed product which is now known to be the key regularity property in classification. In this talk, we will present some recent results showing that certain classes of systems are almost finite. |