English

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

Operator Algebras 2011-04-07 v1 K-Theory and Homology

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.

Keywords

Cite

@article{arxiv.1104.1058,
  title  = {K-theory for ring C*-algebras attached to function fields with only one infinite place},
  author = {Xin Li},
  journal= {arXiv preprint arXiv:1104.1058},
  year   = {2011}
}

Comments

27 pages

R2 v1 2026-06-21T17:50:12.850Z