The topological quotient conjecture for quantized coordinate rings

Let AA be a quantized coordinate ring of an affine variety VV. Topological quotient conjecture. The spaces SpecA\operatorname{Spec} A and PrimA\operatorname{Prim} A are compatible topological quotients of SpecO(V)\operatorname{Spec} \mathcal O(V) and maxO(V)V\max \mathcal O(V) \approx V, respectively. This would extend known topological quotient results for quantum affine spaces, quantum groups, and related cocycle twists to quantized coordinate rings more generally; the necessary technical condition in the preceding theorem is not known to be necessary.

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Primary source

K. R. Goodearl, “Spectra of quantum algebras”, arXiv:2211.14967 (2022).

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