On the vanishing of Twisted negative K-theory and homotopy invariance

Vivek Sadhu
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Abstract

In this article, we revisit Weibel's conjecture for twisted $K$-theory. We also examine the vanishing of twisted negative $K$-groups for Pr\"{u}fer domains. Furthermore, we observe that the homotopy invariance of twisted $K$-theory holds for (finite-dimensional) Pr\"{u}fer domains.
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论扭曲负 K 理论的消失和同调不变性
在这篇文章中,我们重温了魏贝尔关于扭曲 $K$ 理论的猜想。我们还考察了 Pr\"{u}ferdomains 的扭曲负 $K$ 群的消失。此外,我们观察到扭曲$K$理论的同调不变性对于(有限维)Pr\"{u}fer域是成立的。
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