K-theory for ring C*-algebras attached to function fields

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.

arXiv comment19 pages

References in corpus (1)

• C*-algebras associated with integral domains and crossed products by actions on adele spaces

Cited by in corpus (4)

• Partial crossed product description of the C*-algebras associated with integral domains
• Inverse semigroups and the Cuntz-Li algebras
• On the group cohomology of the semi-direct product Z^n rtimes Z/m and a conjecture of Adem-Ge-Pan-Petrosyan
• K-theory for ring C*-algebras attached to function fields with only one infinite place