New 'almost Auslander regular' rings are used to prove Auslander regularity, with sharp global dimension, for completed enveloping algebras, Tate-Weyl algebras, and distribution algebras over non-discretely valued p-adic fields.
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Auslander regularity of $p$-adic Banach algebras via almost mathematics
New 'almost Auslander regular' rings are used to prove Auslander regularity, with sharp global dimension, for completed enveloping algebras, Tate-Weyl algebras, and distribution algebras over non-discretely valued p-adic fields.