Ardakov, K.; Brown, K.A.

Ring-theoretic properties of Iwasawa algebras: a survey.

Doc. Math. (Bielefeld) Extra Vol. John H. Coates' Sixtieth Birthday, 7-33 (2006)

Summary

This is a survey of the known properties of Iwasawa algebras, i.e., completed group rings of compact $p$-adic analytic groups with coefficients the ring $\Bbb Z_p$ of $p$-adic integers or the field $\Bbb F_p$ of $p$ elements. A number of open questions are also stated.

Mathematics Subject Classification

16L30, 16S34, 16P50, 11R23, 20E18, 20C07, 16P40

Keywords/Phrases

Iwasawa algebras, maximal orders, dimensions, localisations, compact $p$-adic analytic groups, completed group rings

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