4 citations · 9 across the 6 of their papers we have counts for
6 papers
Gamma-invariant ideals in Iwasawa algebras
K. Ardakov, S. J. Wadsley
Let kG be the completed group algebra of a uniform pro-p group G with coefficients in a field k of characteristic p. We study right ideals I in kG that are invariant under the acti…
Centres of skewfields and completely faithful Iwasawa modules
Konstantin Ardakov
Let H be a torsionfree compact p-adic analytic group whose Lie algebra is split semisimple. We show that the quotient skewfield of fractions of the Iwasawa algebra Λ_H of H has tri…
Reflexive Ideals in Iwasawa Algebras
Konstantin Ardakov, Feng Wei, James J. Zhang
Let be a torsionfree compact -adic analytic group. We give sufficient conditions on and which ensure that the Iwasawa algebra of has no non-trivial two-sid…
Nonexistence of reflexive ideals in Iwasawa algebras of Chevalley type
Konstantin Ardakov, Feng Wei, James J. Zhang
Let be a root system and let $Φ(\Zp)$ be the standard Chevalley $\Zp$-Lie algebra associated to . For any integer , let be the uniform pro- group correspondi…
On the Cartan map for crossed products and Hopf-Galois extensions
Konstantin Ardakov, Simon Wadsley
We study certain aspects of the algebraic K-theory of Hopf-Galois extensions. We show that the Cartan map from K-theory to G-theory of such an extension is a rational isomorphism,…
Primeness, semiprimeness and localisation in Iwasawa algebras
Konstantin Ardakov, Kenneth A. Brown
Necessary and sufficient conditions are given for the completed group algebras of a compact p-adic analytic group with coefficient ring the p-adic integers or the field of p elemen…