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

Li, X. (2012) K-theory for ring C*-algebras attached to function fields with only one infinite place. Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology, 10(1), pp. 203-231. (doi: 10.1017/is011011023jkt177)

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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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Li, Professor Xin
Authors: Li, X.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology
Publisher:Cambridge University Press
ISSN:1865-2433
ISSN (Online):1865-5394
Published Online:31 January 2012

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