Propriétés homologiques des algèbres d'Iwasawa non commutatives

Feng Wei

doi:10.1016/j.crma.2010.11.030

Propriétés homologiques des algèbres d'Iwasawa non commutatives

Translated title of the contribution: Homological properties of noncommutative Iwasawa algebras

Feng Wei^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

For any compact p-adic Lie group G, the Iwasawa algebra ΩG is an Artin-Schelter Gorenstein algebra. We obtain the Auslander-Buchsbaum formula, the Bass's theorem and the No-holes theorem for noetherian modules over ΩG and ΩG, and the dual versions for their artinian modules. It is shown that ΩG is Morita self-dual via dualizing complexes. We finally consider the homological invariant "grade" of filtered modules over ΩG and ΩG, when G is a uniform pro-p group with certain properties.

Translated title of the contribution	Homological properties of noncommutative Iwasawa algebras
Original language	French
Pages (from-to)	15-20
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	349
Issue number	1-2
DOIs	https://doi.org/10.1016/j.crma.2010.11.030
Publication status	Published - Jan 2011

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Propriétés homologiques des algèbres d'Iwasawa non commutatives

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