Auslander Regularity of p-adic Distribution Algebras
classification
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keywords
algebrasauslanderdistributionp-adicalgebraapplicationbanachcoadmissible
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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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