27/05/2014, 14:30 — 15:30 — Room P3.10, Mathematics Building
Jonathon Funk, University of the West Indies, Barbados
Grothendieck topologies for C*-algebras
We investigate a (contravariant) functor from C*-algebras to toposes and geometric morphisms that generalizes the Gelfand spectrum in the commutative case. The functor produces a locale, presented by means of a Grothendieck topology on an inf-semilattice of 'Gelfand' opens \([U;a]\).