C*-algebras associated with integral domains and crossed products by actions on adele spaces

Details C*-algebras associated with integral domains and crossed products by actions on adele spaces C*-algebras associated with integral domains and crossed products by actions on adele spaces

2009-06-26

arxiv.org/abs/0906.4903v1

Mathematics

Operator Algebras

38 pages

Scientific paper

We compute the K-theory for C*-algebras naturally associated with rings of integers in number fields. The main ingredient is a duality theorem for arbitrary global fields. It allows us to identify the crossed product arising from affine transformations on the finite adeles with the analogous crossed product algebra over the infinite adele space.

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