Extending obstruction to noncommutative functorial spectra
| Authors |
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| Publication date | 2014 |
| Journal | Theory and Applications of Categories |
| Article number | 17 |
| Volume | Issue number | 29 |
| Pages (from-to) | 457-474 |
| Organisations |
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| Abstract | 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. |
| Document type | Article |
| Note | © Benno van den Berg and Chris Heunen, 2014. Permission to copy for private use granted. |
| Language | English |
| Published at | http://www.tac.mta.ca/tac/volumes/29/17/29-17abs.html |
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