Benno van den Berg |
Chris Heunen |
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 nxn-matrices for n at least 3. The same obstruction applies to the Zariski, Stone, and Pierce spectra. The possibility of spectra in categories other than that of locales is briefly discussed. |
ArXived at: https://dx.doi.org/10.4204/EPTCS.95.3 | bibtex | |
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