A note on the quasi-local algebra of expander graphs
Operator Algebras
2025-11-25 v2 Functional Analysis
Abstract
We show that the quasi-local algebra of a coarse disjoint union of expander graphs does not contain a Cartan subalgebra isomorphic to . 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.
Keywords
Cite
@article{arxiv.2508.07327,
title = {A note on the quasi-local algebra of expander graphs},
author = {Bruno M. Braga and Ján Špakula and Alessandro Vignati},
journal= {arXiv preprint arXiv:2508.07327},
year = {2025}
}
Comments
14 pages, minor corrections and updates