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

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

2009-11-26

arxiv.org/abs/0911.5023v1

Mathematics

Operator Algebras

19 pages

Scientific paper

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.

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