The topological quotient conjecture for quantized coordinate rings

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Let AA be a quantized coordinate ring of an affine variety VV. Topological quotient conjecture. The spaces Spec⁡A\operatorname{Spec} A and Prim⁡A\operatorname{Prim} A are compatible topological quotients of Spec⁡O(V)\operatorname{Spec} \mathcal O(V) and max⁡O(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.

References

Primary source

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

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