On the uniform Roe algebra as a Banach algebra and embeddings of ℓp uniform Roe algebras

We work on ℓp uniform Roe algebras associated to metric spaces, and on their mutual embedding. We generalize results of Farah and the authors to mutual embeddings of uniform Roe algebras of operators on ℓp spaces. Simultaneously, we obtain rigidity results for the classic uniform Roe C∗‐algebras whi...

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Veröffentlicht in:	The Bulletin of the London Mathematical Society 2020-10, Vol.52 (5), p.853-870
Hauptverfasser:	Braga, Bruno M., Vignati, Alessandro
Format:	Artikel
Sprache:	eng
Schlagworte:	46L65 46L85 (primary) Mathematics
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description	We work on ℓp uniform Roe algebras associated to metric spaces, and on their mutual embedding. We generalize results of Farah and the authors to mutual embeddings of uniform Roe algebras of operators on ℓp spaces. Simultaneously, we obtain rigidity results for the classic uniform Roe C∗‐algebras which depend only on their Banach algebra structure.
doi_str_mv	10.1112/blms.12366
format	Article
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title	On the uniform Roe algebra as a Banach algebra and embeddings of ℓp uniform Roe algebras
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