On the uniform Roe algebra as a Banach algebra and embeddings of ℓp uniform Roe algebras
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Abstract
We work on ℓ p 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 ℓ p spaces. Simultaneously, we obtain rigidity results for the classic uniform Roe C ∗ -algebras which depend only on their Banach algebra structure.
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