Gelfand spectra in Grothendieck toposes using geometric mathematics
In the (covariant) topos approach to quantum theory by Heunen, Landsman and Spitters, one associates to each unital C*-algebra, A, a topos T(A) of sheaves on a locale and a commutative C*-algebra, a, within that topos. The Gelfand spectrum of a is a locale S in this topos, which is equivalent to...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Open Publishing Association
2014-07-01
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| Series: | Electronic Proceedings in Theoretical Computer Science |
| Online Access: | http://arxiv.org/pdf/1310.0705v2 |