3 papers
math.RT2021
Primitive ideals in rational, nilpotent Iwasawa algebras
Adam Jones
Given a -adic field and a nilpotent uniform pro- group , we prove that all primitive ideals in the -rational Iwasawa algebra are maximal, and can be reduced to…
math.GR2019
A Control Theorem for Primitive ideals in Iwasawa algebras
Adam Jones
Let p be a prime, K a p-adic field, G a nilpotent, uniform pro-p group. We prove that all faithful, primitive ideals in the Iwasawa algebra KG are controlled by the centraliser of…
math.RT2018
Completed Group Algebras of Abelian-by-procyclic Groups
Adam Jones
Let p be a prime, let G be a p-valuable, abelian-by-procyclic group, and let k be a field of characteristic p. We will prove that all faithful prime ideals of the completed group a…