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arXiv · 2502.01119

Auslander regularity of $p$-adic Banach algebras via almost mathematics

Andreas Bode
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Abstract

We discuss an "almost" version of Auslander regularity and use it to prove the Auslander regularity of various Banach algebras over non-discretely valued fields appearing naturally in $p$-adic locally analytic representation theory: completed Weyl algebras, the completed enveloping algebra of a Lie algebra, and the Banach completion of the distribution algebra $D(G, K)$ for a compact $p$-adic Lie group $G$.

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Andreas Bode. 2025-02-03. Auslander regularity of $p$-adic Banach algebras via almost mathematics. https://arxiv.org/abs/2502.01119

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