不稳定的代数 K 理论：同调稳定性及其他观察结果

arXiv - MATH - K-Theory and Homology Pub Date : 2024-05-03 DOI:arxiv-2405.02065

Mikala Ørsnes Jansen

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引用次数: 0

摘要

我们研究了还原伯勒-塞雷范畴的稳定性；这些范畴是在以前的工作中作为不稳定代数 K 理论的模型引入的。我们发现它们比一般线性群表现出更好的同调稳定性。我们还证明它们为袁氏部分代数 K 理论提供了一个明确的模型。

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Unstable algebraic K-theory: homological stability and other observations

We investigate stability properties of the reductive Borel-Serre categories; these were introduced as a model for unstable algebraic K-theory in previous work. We see that they exhibit better homological stability properties than the general linear groups. We also show that they provide an explicit model for Yuan's partial algebraic K-theory.

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arXiv - MATH - K-Theory and Homology

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