arXiv math/07034642007-03math.RT

Auslander Regularity of p-adic Distribution Algebras

Tobias Schmidt

备注：: Final version (appeared in Rep. Th. 2007). Exposition shortened compared to earlier versions

英文摘要：

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.

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