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.
Cite this article
Joachim Cuntz, Xin Li, K-theory for ring C*-algebras attached to polynomial rings over finite fields. J. Noncommut. Geom. 5 (2011), no. 3, pp. 331–349DOI 10.4171/JNCG/78