Cuntz, J. and Li, X. (2011) C*-algebras associated with integral domains and crossed products by actions on adele spaces. Journal of Noncommutative Geometry, 5(1), pp. 1-37. (doi: 10.4171/JNCG/68)
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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.
| Item Type: | Articles |
|---|---|
| Additional Information: | A correction to this article is available at https://doi.org/10.4171/jncg/107. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Li, Professor Xin |
| Authors: | Cuntz, J., and Li, X. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Noncommutative Geometry |
| Publisher: | European Mathematical Society |
| ISSN: | 1661-6952 |
| ISSN (Online): | 1661-6960 |
| Published Online: | 19 December 2010 |
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