The pro-p-Iwahori-Hecke algebra of a reductive p-adic group, II

For any commutative ring R and any reductive p-adic group G, we describe the center of the pro-p-Iwahori-Hecke R-algebra of G. We show that the pro-p-Iwahori-Hecke algebra is a finitely generated module over its center and is a finitely generated R-algebra. When the ring R is noetherian, the center is a finitely generated R-algebra and the pro-p-Iwahori- Hecke R-algebra is noetherian. This generalizes results known only for split groups.