Auslander regularity of p-adic Banach algebras via almost mathematics

2025/02/03 by Andreas Bode, Bode, Andreas · 1 citation
Mathematics · #advanced mathematical theories #Advanced Topics in Algebra #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.2502.01119

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.

Cited by

• A survey on Auslander-Gorenstein algebras

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