Quantization, orbifold cohomology, and Cherednik algebras

Pavel Etingof, Alexei Oblomkov

We compute the Hochschild homology of the crossed product $\mathbb{C}[S_n]⋉A^{\otimes n}$ in terms of the Hochschild homology of the associative algebra $A$ (over $\mathbb{C}$). It…