K-theory for ring C*-algebras attached to function fields with only one infinite place

Details K-theory for ring C*-algebras attached to function fields with only one infinite place K-theory for ring C*-algebras attached to function fields with only one infinite place

2011-04-06

arxiv.org/abs/1104.1058v1

Mathematics

Operator Algebras

27 pages

Scientific paper

We study the K-theory of ring C*-algebras associated to rings of integers in
global function fields with only one single infinite place. First, we compute
the torsion-free part of the K-groups of these ring C*-algebras. Secondly, we
show that, under a certain primeness condition, the torsion part of K-theory
determines the inertia degrees at infinity of our function fields.

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