  After a summary on module algebra actions of C^*-weak Hopf algebras we
outline the proof of a reconstruction theorem stating that every finite index
depth 2 inclusion N < M of unital C^*-algebras with finite dimensional centers
is isomorphic to the invariant subalgebra inclusion M^A < M with respect to a
regular weak Hopf algebra action. The proof uses the language of
C^*-2-categories.
