2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60669After 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.17 pp, AMS-LaTeXQuantum AlgebraMathematical PhysicsOperator Algebrastext