Non-existence of reflexive ideals in Iwasawa algebras of Chevalley type

Let Φ be a root system and let be the standard Chevalley -Lie algebra associated to Φ. For any integer t 1, let G be the uniform pro-p group corresponding to the powerful Lie algebra and suppose that p 5. Then the Iwasawa algebra ΩG has no non-trivial two-sided reflexive ideals. This was previously proved by the authors for the root system A1.