设 A 为带有有限群 G 作用的 \C-代数，设 $\natural$ 为 G 上的 2-上圈，考虑扭交叉积 $A \rtimes \C [G,\natural]$。我们针对两类代数 A 确定了 $A \rtimes \C [G,\natural]$ 的 Hochschild 同调：非奇异仿射簇上的正则函数环，以及分次 Hecke 代数。这些结果通过（虚）表示的代数族实现，并包含了对 $A \rtimes \C [G,\natural]$ 的中心作为模的 Hochschild 同调的描述。本文为计算约化 p-adic 群的 Hecke 代数的 Hochschild 同调做准备。
英文摘要：
Let A be a \C-algebra with an action of a finite group G, let $\natural$ be a 2-cocycle on $G$ and consider the twisted crossed product $A \rtimes \C [G,\natural]$. We determine the Hochschild homology of $A \rtimes \C [G,\natural]$ for two classes of algebras A:
- rings of regular functions on nonsingular affine varieties,
- graded Hecke algebras.
The results are achieved via algebraic families of (virtual) representations and include a description of the Hochschild homology as module over the centre of $A \rtimes \C [G,\natural]$. This paper prepares for a computation of the Hochschild homology of the Hecke algebra of a reductive p-adic group.
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