English

Ideal related K-theory with coefficients

Operator Algebras 2021-09-20 v1

Abstract

In this paper, we define an invariant, which we believe should be the substitute for total K-theory in the case when there is one distinguished ideal. Moreover, some diagrams relating the new groups to the ordinary K-groups with coefficients are constructed. These diagrams will in most cases help to determine the new groups, and will in a companion paper be used to prove a universal multi-coefficient theorem for the one distinguished ideal case for a large class of algebras.

Keywords

Cite

@article{arxiv.1210.2737,
  title  = {Ideal related K-theory with coefficients},
  author = {Søren Eilers and Gunnar Restorff and Efren Ruiz},
  journal= {arXiv preprint arXiv:1210.2737},
  year   = {2021}
}
R2 v1 2026-06-21T22:18:59.171Z