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Reflexive Ideals in Iwasawa Algebras

Abstract:

Let $G$ be a torsionfree compact $p$-adic analytic group. We give sufficient conditions on $p$ and $G$ which ensure that the Iwasawa algebra $\Omega_G$ of $G$ has no non-trivial two-sided reflexive ideals. Consequently, these conditions imply that every nonzero normal element in $\Omega_G$ is a unit. We show that these conditions hold in the case when $G$ is an open subgroup of $\SL_2(\Zp)$ and $p$ is arbitrary. Using a previous result of the first author, we show that there are only two prim...

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Publisher copy:
10.1016/j.aim.2008.02.004

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
Advances in Mathematics
Volume:
218
Issue:
3
Pages:
865-901
Publication date:
2007-10-02
DOI:
EISSN:
1090-2082
ISSN:
0001-8708
URN:
uuid:4365d6df-258d-4bc4-9214-6dcd55371a85
Source identifiers:
399415
Local pid:
pubs:399415
Language:
English
Keywords:

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