abstract: In a recent paper in 2013, A. Hoffnung, J. Malagon-Lopez, A. Savage and K. Zainoulline constructed a generalization of a Hecke algebra starting from a formal group law and a finite root system. In this poster we discuss how to generalize their construction to a Kac-Moody root system in the case of a hyperbolic formal group law. This is joint work with E. Neher and K. Zainoulline.