Cuntz, J. and Li, X. (2011) K-theory for ring C-algebras attached to polynomial rings over finite fields. Journal of Noncommutative Geometry, 5(3), pp. 331-349. (doi: 10.4171/JNCG/78)
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Abstract
We compute the K-theory of ring C*-algebras for polynomial rings over finite fields. The key ingredient is a duality theorem which we had obtained in a previous paper. It allows us to show that the K-theory of these algebras has a ring structure and to determine explicit generators. Our main result also reveals striking similarities between the number field case and the function field case.
| Item Type: | Articles |
|---|---|
| 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: | 04 July 2011 |
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