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arXiv · 1911.12625

Duality for noncommutative frames

Karin Cvetko-Vah·Jens Hemelaer·Lieven Le Bruyn
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Abstract

We characterize the left-handed noncommutative frames that arise from sheaves on topological spaces. Further, we show that a general left-handed noncommutative frame $A$ arises from a sheaf on the dissolution locale associated to the commutative shadow of $A$. Both constructions are made precise in terms of dual equivalences of categories, similar to the duality result for strongly distributive skew lattices in arXiv:1206.5848.

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Karin Cvetko-Vah, Jens Hemelaer, Lieven Le Bruyn. 2019-11-28. Duality for noncommutative frames. https://arxiv.org/abs/1911.12625

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