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A correspondence between inverse subsemigroups, open wide subgroupoids and cartan intermediate C*-subalgebras.
- Source :
- Proceedings of the Edinburgh Mathematical Society; Aug2022, Vol. 65 Issue 3, p861-879, 19p
- Publication Year :
- 2022
-
Abstract
- For a given inverse semigroup action on a topological space, one can associate an étale groupoid. We prove that there exists a correspondence between the certain subsemigroups and the open wide subgroupoids in case that the action is strongly tight. Combining with the recent result of Brown et al., we obtain a correspondence between the certain subsemigroups of an inverse semigroup and the Cartan intermediate subalgebras of a groupoid C*-algebra. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00130915
- Volume :
- 65
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Proceedings of the Edinburgh Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 159709452
- Full Text :
- https://doi.org/10.1017/S0013091522000402