Completed Iwahori-Hecke algebras and parahoric Hecke algebras for Kac-Moody groups over local fields

Ramla Abdellatif, Auguste Hébert

Let G be a split Kac-Moody group over a non-archimedean local field. We define a completion of the Iwahori-Hecke algebra of G. We determine its center and prove that it is isomorph…