The Ginzburg–Kaledin quantized Hochschild–orbifold cohomology conjecture

Let $\mathscr{X}$ be a symplectic quotient orbifold and let $\mathscr{A}$ be an appropriate quantization of $\mathscr{X}$. Ginzburg–Kaledin conjecture. There is an algebra isomorphism

$$H\! H^\bullet(\mathscr{A}[\hbar^{-1}])\cong H^\bullet_\mathrm{orb}(\mathscr{X})\otimes\mathbb{C}((\hbar)).$$

The conjecture proposes that quantization removes the need to pass to associated graded algebras. It is presented as a related conjecture of Ginzburg and Kaledin and is unresolved in the supplied source.