A note on the quasi-local algebra of expander graphs
We show that the quasi-local algebra of a coarse disjoint union of expander graphs does not contain a Cartan subalgebra isomorphic to ℓ<sub>∞</sub>.<br/>N. 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 de Mendonça Braga
Publication Details
- Journal
- ePrints Soton (University of Southampton)
- Published
- 2025-11-23
- Primary Topic
- Advanced Operator Algebra Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- American Institute of Mathematics
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro
- Institut Universitaire de France
- Engineering and Physical Sciences Research Council