symmetric monoidal (∞,1)-category of spectra
An analogue of Gelfand duality for commutative von Neumann algebras.
The following five categories are equivalent.
The opposite category of commutative von Neumann algebras and normal \*-homomorphisms.
The category of measurable locales, which is a full subcategory of the category of locales.
The category of hyperstonean locales and open maps of locales.
The category of hyperstonean spaces and open maps.
The category of compact strictly localizable enhanced measurable spaces and equivalence classes of measurable negligibility-reflecting maps modulo the equivalence relation of weak equality almost everywhere.
Last revised on April 27, 2024 at 04:04:08. See the history of this page for a list of all contributions to it.