Abstract
After reviewing aspects of the development of inverse semigroup theory, we describe an approach to studying them which views them as ‘non-commutative meet semilattices’. This leads to non-commutative versions of Stone duality and connections with the contemporary theory of étale groupoids and infinite groups analogous to the Thompson groups.
Original language | English |
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Pages (from-to) | 103–118 |
Number of pages | 16 |
Journal | Semigroup Forum |
Volume | 100 |
Early online date | 1 Oct 2019 |
DOIs | |
Publication status | Published - Feb 2020 |
Keywords
- Inverse semigroups
- Stone duality
- Topological groupoids
ASJC Scopus subject areas
- Algebra and Number Theory