Zappa-Szép products for partial actions of groupoids on left cancellative small categories
Peer reviewed, Journal article
Accepted version
Permanent lenke
https://hdl.handle.net/11250/3046733Utgivelsesdato
2022Metadata
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- Institutt for matematiske fag [2606]
- Publikasjoner fra CRIStin - NTNU [40058]
Sammendrag
We study groupoid actions on left cancellative small categories and their associated Zappa-Sz´ep products. We show that certain left cancellative small categories with nice length functions can be seen as Zappa-Sz´ep products. We compute the associated tight groupoids, characterizing important properties of them, like being Hausdorff, effective and minimal. Finally, we determine amenability of the tight groupoid under mild, reasonable hypotheses.