No-go theorems for functorial localic spectra of noncommutative rings
نویسندگان
چکیده
منابع مشابه
No-go theorems for functorial localic spectra of noncommutative rings
Any functor from the category of C*-algebras to the category of locales which assigns to each commutative C*-algebra its Gelfand spectrum must be trivial on algebras of n-by-n matrices for n ≥ 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. A recent article [7] by Reyes shows tha...
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ژورنال
عنوان ژورنال: Electronic Proceedings in Theoretical Computer Science
سال: 2012
ISSN: 2075-2180
DOI: 10.4204/eptcs.95.3