C*-algebras associated with integral domains and crossed products by actions on adele spaces
Operator Algebras
2009-06-29 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0906.4903,
title = {C*-algebras associated with integral domains and crossed products by actions on adele spaces},
author = {Joachim Cuntz and Xin Li},
journal= {arXiv preprint arXiv:0906.4903},
year = {2009}
}
Comments
38 pages