Non-commutative Stone duality

Mark V. Lawson

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arXiv · 2207.02686

Non-commutative Stone duality

Mark V. Lawson

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Abstract

We show explicitly that Boolean inverse semigroups are in duality with what we term Boolean groupoids. This generalizes the classical Stone duality, which we refer to as commutative Stone duality, between generalized Boolean algebras and locally compact Hausdorff $0$-dimensional spaces.

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Mark V. Lawson. 2022-07-06. Non-commutative Stone duality. https://arxiv.org/abs/2207.02686

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