A note on the quasi-local algebra of expander graphs
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909921204764672 |
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| author | Braga, Bruno M. Špakula, Ján Vignati, Alessandro |
| author_facet | Braga, Bruno M. Špakula, Ján Vignati, Alessandro |
| contents | We show that the quasi-local algebra of a coarse disjoint union of expander graphs does not contain a Cartan subalgebra isomorphic to $\ell_\infty$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_07327 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on the quasi-local algebra of expander graphs Braga, Bruno M. Špakula, Ján Vignati, Alessandro Operator Algebras Functional Analysis 46L05 05C48 We show that the quasi-local algebra of a coarse disjoint union of expander graphs does not contain a Cartan subalgebra isomorphic to $\ell_\infty$. 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. |
| title | A note on the quasi-local algebra of expander graphs |
| topic | Operator Algebras Functional Analysis 46L05 05C48 |
| url | https://arxiv.org/abs/2508.07327 |