Journal article
Reflexive Ideals in Iwasawa Algebras
- Abstract:
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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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Authors
Bibliographic Details
- Journal:
- Advances in Mathematics
- Volume:
- 218
- Issue:
- 3
- Pages:
- 865-901
- Publication date:
- 2007-10-02
- DOI:
- EISSN:
-
1090-2082
- ISSN:
-
0001-8708
- Source identifiers:
-
399415
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:399415
- UUID:
-
uuid:4365d6df-258d-4bc4-9214-6dcd55371a85
- Local pid:
- pubs:399415
- Deposit date:
- 2013-11-16
Terms of use
- Copyright date:
- 2007
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