The Galois representations associated to a Drinfeld module in special characteristic—I: Zariski density

Let ϕ be a Drinfeld A-module of rank r over a finitely generated field K. Assume that ϕ has special characteristic p0 and consider any prime p≠p0 of A. If EndKsep(ϕ)=A, we prove that the image of Gal(Ksep/K) in its representation on the p-adic Tate module of ϕ is Zariski dense in GLr.