Auslander Regularity of p-adic Distribution Algebras
Representation Theory
2012-10-03 v2
Abstract
Given a compact p-adic Lie group we show that its distribution algebra is Frechet-Stein with Auslander regular Banach algebras. As an application, we show that nonzero coadmissible modules coming from smooth or, more general, U(g)-finite representations have maximal codimension.
Cite
@article{arxiv.math/0703464,
title = {Auslander Regularity of p-adic Distribution Algebras},
author = {Tobias Schmidt},
journal= {arXiv preprint arXiv:math/0703464},
year = {2012}
}
Comments
Final version (appeared in Rep. Th. 2007). Exposition shortened compared to earlier versions