The Abel Summation Method and Infinite Euler Characteristic
K-Theory and Homology
2026-05-21 v1
Abstract
We develop a finiteness notion for unbounded chain complexes over a commutative noetherian integral domain employing the Abel summation method. The algebraic K-theory of such complexes is defined, and shown to be non-trivial. We also exhibit a natural map from the (usual) algebraic K-theory of into the new K-theory and show that its image contains a canonical infinite cyclic subgroup.
Cite
@article{arxiv.2605.21373,
title = {The Abel Summation Method and Infinite Euler Characteristic},
author = {Thomas Huettemann and Dan Kucerovsky},
journal= {arXiv preprint arXiv:2605.21373},
year = {2026}
}
Comments
11 pages