Description of Intermediate C*-Algebras for Noncommutative Crossed Products

This is a joint work with Prof. Ilan Hirshberg and Dr. Tattwamasi Amrutam. Let $\Gamma$ be a discrete group with the property-AP. We give conditions for the inclusion of unital separable C-algebras $A \subset B$ for which every intermediate C-algebra $C$, such that $A \rtimes \Gamma \subset C \subset B \rtimes \Gamma$ is a crossed product. We shall end this talk with some natural classes of inclusion satisfying the above mentioned conditions.