Weibel’s conjecture for twisted K-theory

J. Stapleton
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引用次数: 3

Abstract

We prove Weibel's conjecture for twisted $K$-theory when twisting by a smooth proper connective dg-algebra. Our main contribution is showing we can kill a negative twisted $K$-theory class using a projective birational morphism (in the same twisted setting). We extend the vanishing result to relative twisted $K$-theory of a smooth affine morphism and describe counter examples to some similar extensions.
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扭曲k理论的Weibel猜想
我们用一个光滑的固有连接的g-代数证明了扭曲K -理论在扭曲时的Weibel猜想。我们的主要贡献是展示了我们可以使用投影双态射(在相同的扭曲设置中)杀死负的扭曲K -理论类。我们将消失结果推广到光滑仿射态射的相对扭曲K -理论,并描述了一些类似推广的反例。
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Homology and $K$-Theory of Torsion-Free Ample Groupoids and Smale Spaces An identification of the Baum-Connes and Davis-L\"uck assembly maps Algebraic K-theory of quasi-smooth blow-ups and cdh descent Note on linear relations in Galois cohomology and étale K-theory of curves Weibel’s conjecture for twisted K-theory
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