Completed Iwahori-Hecke algebra for Kac-Moody groups over local fields

Auguste Hébert, Dinakar Muthiah

Let $G$ be a split Kac-Moody group over a non-Archimedean local field, and let $\mathcal{H}$ be the Iwahori-Hecke algebra of $G$. In this paper, we construct a completed Iwahori-He…