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

2011/04/06 by Xin Li, Li, Xin
Mathematics · #46L80 #FOS: Mathematics #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #Primary 46L05 #Secondary 14H05 #math.KT #math.OA #msc:14H05 #msc:46L05 #msc:46L80

paper · pdf · doi:10.48550/arxiv.1104.1058

27 pages

arxiv created 2011/04/06 · arxiv updated 2011/04/07

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.

Related

• K-theory for ring C*-algebras attached to function fields
• Ring C*-algebras
• Finite and torsion KK-theories
• Inductive limits of K-theoretic complexes with torsion coefficients
• The K-theory of the C*-algebras associated to rational functions