Hochschild homology of twisted crossed products and twisted graded Hecke algebras

Let A be a \C-algebra with an action of finite group G, let $\natural$ 2-cocycle on $G$ and consider the twisted crossed product $A \rtimes \C [G,\natural]$. We determine Hochschild homology [G,\natural]$ for two classes algebras A: - rings regular functions nonsingular affine varieties, graded Hecke algebras. The results are achieved via algebraic families (virtual) representations include description as module over centre This paper prepares computation algebra reductive p-adic group.