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

Published online by Cambridge University Press:  31 January 2012

Xin Li
Xin Li*
Affiliation:
Mathematisches Institut, Einsteinstrasse 62, 48149 Münster, Germanyxinli.math@uni-muenster.de
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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 a 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.

Keywords

K-theoryring C*-algebrafunction field
Type
Research Article
Information
Journal of K-Theory , Volume 10 , Issue 1 , August 2012 , pp. 203 - 231
Copyright
Copyright © ISOPP 2011

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