EXTENDING OBSTRUCTIONS TO
EXTENDING OBSTRUCTIONS TO
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发表时间：
2014
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影响因子：
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通讯作者：
C. Heunen
中科院分区：
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作者：
Noncommutative Functorial Spectra;B. V. D. Berg;C. Heunen
从C*-代数的范畴到赋予每个可交换C*-代数其Gelfand谱的区域范畴的任何函子在n × n矩阵的代数上对于n 3都必须是平凡的。这种阻碍也适用于其他光谱，比如以Zariski、Stone和Pierce命名的光谱。我们将这些结果推广到在（环）拓扑空间、（环）拓扑、格式和量子中具有值的函子。讨论了其他谱的可能性。
Any functor from the category of C*-algebras to the category of locales that assigns to each commutative C*-algebra its Gelfand spectrum must be trivial on algebras of n-by-n matrices for n 3. This obstruction also applies to other spectra such as those named after Zariski, Stone, and Pierce. We extend these no-go results to functors with values in (ringed) topological spaces, (ringed) toposes, schemes, and quantales. The possibility of spectra in other categories is discussed.