English

A Control Theorem for Primitive ideals in Iwasawa algebras

Group Theory 2021-02-09 v1 Rings and Algebras Representation Theory

Abstract

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 the second term in the upper central series for G.

Keywords

Cite

@article{arxiv.1909.07857,
  title  = {A Control Theorem for Primitive ideals in Iwasawa algebras},
  author = {Adam Jones},
  journal= {arXiv preprint arXiv:1909.07857},
  year   = {2021}
}

Comments

22 pages

R2 v1 2026-06-23T11:18:01.905Z