paper

The Abel Summation Method and Infinite Euler Characteristic

arXiv:2605.21373

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.

11 pages; v2: expanded proof of Theorem 6.3

The Abel Summation Method and Infinite Euler Characteristic · wovepaper