Gelfand-type duality for commutative von Neumann algebras
نویسندگان
چکیده
We show that the following five categories are equivalent: (1) opposite category of commutative von Neumann algebras; (2) compact strictly localizable enhanced measurable spaces; (3) locales; (4) hyperstonean (5) spaces. This result can be seen as a measure-theoretic counterpart Gelfand duality between unital C*-algebras and Hausdorff topological
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2022
ISSN: ['1873-1376', '0022-4049']
DOI: https://doi.org/10.1016/j.jpaa.2021.106884