A note on the quasi-local algebra of expander graphs
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∞.
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.
Špakula, Ján
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Vignati, Alessandro
00b61d4d-aacb-4740-bbcf-12e7c9cc81e6
de Mendonça Braga, Bruno
502e3489-055a-4d5b-b797-b12ac3365f24
Špakula, Ján
c43164e4-36a7-4372-9ce2-9bfbba775d77
Vignati, Alessandro
00b61d4d-aacb-4740-bbcf-12e7c9cc81e6
de Mendonça Braga, Bruno
502e3489-055a-4d5b-b797-b12ac3365f24
Špakula, Ján, Vignati, Alessandro and de Mendonça Braga, Bruno
(2025)
A note on the quasi-local algebra of expander graphs.
Bulletin of the London Mathematical Society.
(In Press)
Abstract
We show that the quasi-local algebra of a coarse disjoint union of expander graphs does not contain a Cartan subalgebra isomorphic to ℓ∞.
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.
Text
Braga-Spakula-Vignati_A-note-on-the-quasi-local-algebra-of-expander-graphs.pdf
- Accepted Manuscript
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Accepted/In Press date: 23 November 2025
Identifiers
Local EPrints ID: 507695
URI: http://eprints.soton.ac.uk/id/eprint/507695
ISSN: 0024-6093
PURE UUID: b2f4683c-c83b-4299-9f32-2ca5f2bac852
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Date deposited: 17 Dec 2025 17:43
Last modified: 18 Dec 2025 02:44
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Contributors
Author:
Alessandro Vignati
Author:
Bruno de Mendonça Braga
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