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On the structure theory of the Iwasawa algebra of a p-adic Lie group

Otmar Venjakob (2002)

Journal of the European Mathematical Society

This paper is motivated by the question whether there is a nice structure theory of finitely generated modules over the Iwasawa algebra, i.e. the completed group algebra, Λ of a p -adic analytic group G . For G without any p -torsion element we prove that Λ is an Auslander regular ring. This result enables us to give a good definition of the notion of a pseudo-null Λ -module. This is classical when G = p k for some integer k 1 , but was previously unknown in the non-commutative case. Then the category of Λ -modules...

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