A note on the quasi‐local algebra of expander graphs
Abstract We show that the quasi‐local algebra of a coarse disjoint union of expander graphs does not contain a Cartan subalgebra isomorphic to . Ozawa has recently shown that these algebras are distinct from the uniform Roe algebras of expander graphs, and our result describes a further difference.
Authors
- Ján Špakula (ORCID: https://orcid.org/0000-0001-5775-9905)
- Alessandro Vignati (ORCID: https://orcid.org/0000-0002-8675-3657)
- Bruno M. Braga
Institutions
- Instituto Nacional de Matemática Pura e Aplicada (BR)
- Université Paris Cité (FR)
- Institut de Mathématiques de Jussieu-Paris Rive Gauche (FR)
- University of Southampton (GB)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2025-12-19
- DOI
- https://doi.org/10.1112/blms.70252
- Primary Topic
- Advanced Operator Algebra Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00