K-theory for ring C*-algebras attached to function fields
Operator Algebras
2009-11-30 v1 K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.0911.5023,
title = {K-theory for ring C*-algebras attached to function fields},
author = {Joachim Cuntz and Xin Li},
journal= {arXiv preprint arXiv:0911.5023},
year = {2009}
}
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19 pages