# K-theory for ring C*-algebras attached to polynomial rings over finite fields

### Joachim Cuntz

University of Münster, Germany### Xin Li

University of Münster, Germany

## 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.

## 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. 331–349

DOI 10.4171/JNCG/78