Work

A note on the quasi‐local algebra of expander graphs

Year: 2025

Type: article

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.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70252

Authors: Bruno M. Braga, Ján Špakula, Alessandro Vignati

Institutions: Instituto Nacional de Matemática Pura e Aplicada, University of Southampton, Institut Universitaire de France, Université Paris Cité, Institut de Mathématiques de Jussieu-Paris Rive Gauche

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930