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arXiv · 2605.21373

The Abel Summation Method and Infinite Euler Characteristic

Thomas Huettemann·Dan Kucerovsky
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Abstract

We develop a finiteness notion for unbounded chain complexes over a commutative noetherian integral domain $R$ 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 $R$ into the new K-theory and show that its image contains a canonical infinite cyclic subgroup.

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Thomas Huettemann, Dan Kucerovsky. 2026-05-20. The Abel Summation Method and Infinite Euler Characteristic. https://arxiv.org/abs/2605.21373

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