  Coisotropic algebras are used to formalize coisotropic reduction in Poisson
geometry as well as in deformation quantization and find applications in
various other fields as well. In this paper we prove a Serre-Swan Theorem
relating the regular projective modules over the coisotropic algebra built out
of a manifold $M$, a submanifold $C$ and an integrable smooth distribution $D
\subseteq TC$ with vector bundles over this geometric situation and show an
equivalence of categories for the case of a simple distribution.
