From the 1 of 5 linked papers with an AI index.
5 papers
Nonnuclear Bunce-Deddens algebras
Jamie Bell
The paper defines and studies nonnuclear Bunce-Deddens C*-algebras built from free odometer actions of certain nonamenable groups, showing they have regularity properties and compu…
Crossed product C*-algebras associated with non-minimal actions on the circle
Jamie Bell
We examine crossed product C*-algebras associated with free non-minimal actions of countably infinite discrete abelian groups on the circle, extending the work of Putnam, Schmidt,…
Stable rank one in nonnuclear crossed products
Jamie Bell, Shirly Geffen, David Kerr
We initiate an investigation into the local structure of simple nonnuclear C-crossed products by showing that stable rank one is generic within two natural classes of minimal a…
Non-Isomorphic Abelian Varieties with the Same Arithmetic
Jamie Bell
We construct two abelian varieties over which are not isomorphic, but have isomorphic Mordell--Weil groups over every number field, isomorphic Tate modules and equal v…
A Note on the Growth of Sha in Dihedral Extensions
Jamie Bell
We provide a formula for the order of the Tate--Shafarevich group of elliptic curves over dihedral extensions of number fields of order , up to powers and primes divid…