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arXiv · 1803.00394

General Non-Commutative Locally Compact Locally Hausdorff Stone Duality

Tristan Bice·Charles Starling
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Abstract

We extend the classical Stone duality between zero dimensional compact Hausdorff spaces and Boolean algebras. Specifically, we simultaneously remove the zero dimensionality restriction and extend to \'etale groupoids, obtaining a duality with an elementary class of inverse semigroups.

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BibTeXRIS

Tristan Bice, Charles Starling. 2018-02-16. General Non-Commutative Locally Compact Locally Hausdorff Stone Duality. https://doi.org/10.1016/j.aim.2018.10.031

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