摘要翻译：
本文包含两个关于多环型群的等变K-理论的结果。第一个是任意仿射toric簇的等变k-群的公式，推广了已知的光滑k-群的公式。事实上，这个结果是在更一般的上下文中建立的，涉及到分次射影模的K-理论。第二个结果是Vezzosi和Vistoli关于光滑（不一定是仿射）toric变体的等变k-理论的一个定理的新证明。
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英文标题：
《The equivariant K-theory of toric varieties》
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作者：
Suanne Au, Mu-wan Huang, Mark E. Walker
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最新提交年份：
2008
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分类信息：

一级分类：Mathematics        数学
二级分类：K-Theory and Homology        K-理论与同调
分类描述：Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras
代数和拓扑K-理论，与拓扑的关系，交换代数和算子代数
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一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
  This paper contains two results concerning the equivariant K-theory of toric varieties. The first is a formula for the equivariant K-groups of an arbitrary affine toric variety, generalizing the known formula for smooth ones. In fact, this result is established in a more general context, involving the K-theory of graded projective modules. The second result is a new proof of a theorem due to Vezzosi and Vistoli concerning the equivariant K-theory of smooth (not necessarily affine) toric varieties.
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PDF链接：
https://arxiv.org/pdf/0809.3378