No-go theorems for functorial localic spectra of noncommutative rings

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...

Täydet tiedot

Bibliografiset tiedot
Päätekijät: Benno van den Berg, Chris Heunen
Aineistotyyppi: Artikkeli
Kieli:English
Julkaistu: Open Publishing Association 2012-10-01
Sarja:Electronic Proceedings in Theoretical Computer Science
Linkit:http://arxiv.org/pdf/1101.5924v3