The theory of C∗−algebras [1, 7,17] is incredibly rich and provides a great starting point for exploring various types of operator algebras within the realm of Functional Analysis. Previous papers [8, 12] have used these algebras to analyze what are called C∗-product systems and C∗-subproduct systems, as a natural generalization of two parameter product systems of Hilbert spaces, introduced by B. Tsirelson in [18]. The Gelfand duality shows that commutative unital C∗-product and subproduct systems are directly related to certain two-parameter families of compact Hausdorff spaces, referred to in this paper as compact super-product systems. Building on this, we define the concept of flattening and show that each compact super-product system can be flattened through a projective limit construction. Furthermore, we are able to define a one-parameter “multiplication” induced by this flattening, which behaves well within the framework of a C∗-product system. Finally, we show that these results hold when considering the appropriate measures for these spaces, as well as the various constructions defined within them.