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Quantum -space

Authors:	K R Goodearl E S Letzter

Institution:	Department of Mathematics, University of California, Santa Barbara, California 93106 ; Department of Mathematics, Texas A&M University, College Station, Texas 77843

Abstract:	The prime and primitive spectra of $\mathcal{O}_{\mathbf q}(k^{n})$ , the multiparameter quantized coordinate ring of affine -space over an algebraically closed field , are shown to be topological quotients of the corresponding classical spectra, $\operatorname{spec} \mathcal{O}(k^{n})$ and $\max \mathcal{O}(k^{n})\approx k^{n}$ , provided the multiplicative group generated by the entries of $\mathbf{q}$ avoids .

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