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math.OA2022
On the C*-algebra associated with the full adele ring of a number field
Chris Bruce, Takuya Takeishi
The multiplicative group of a number field acts by multiplication on the full adele ring of the field. Generalising a theorem of Laca and Raeburn, we explicitly describe the primit…
math.OA2022
Constructing number field isomorphisms from *-isomorphisms of certain crossed product C*-algebras
Chris Bruce, Takuya Takeishi
We prove that the class of crossed product C*-algebras associated with the action of the multiplicative group of a number field on its ring of finite adeles is rigid in the followi…