Work

Global and local triviality for extensions of ample groupoids: an algebraic approach

Year: 2026

Type: preprint

Abstract: Using the duality between the categories of inverse semigroups and ample groupoids, we prove the triviality (global and local) of the central term of the extension in terms of twisted crossed products.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.32294

Authors: Brownlowe, Nathan, Clark, Lisa Orloff, Pardo, Enrique, Sims, Aidan

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Stanley Medical Research Institute, Royal Society, Royal Society Te Apārangi, Victoria University of Wellington, University of Wollongong, Junta de Andalucía, Marsden Fund, Agencia Estatal de Investigación

Awards: G3746902536, G4573985243, G4632184318, G4920894121, G763978806, G8597629518

OpenAlex ID: W7214737379

Cites: 1

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Related to: 10