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arXiv · 1104.1058

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

Xin Li
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Abstract

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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Xin Li. 2011-04-06. K-theory for ring C*-algebras attached to function fields with only one infinite place. https://arxiv.org/abs/1104.1058

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