Embeddings of Uniform Roe Algebras

In this paper, we study embeddings of uniform Roe algebras. Generally speaking, given metric spaces X and Y , we are interested in which large scale geometric properties are stable under embedding of the uniform Roe algebra of X into the uniform Roe algebra of  Y .

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Veröffentlicht in:Communications in mathematical physics 2020-08, Vol.377 (3), p.1853-1882
Hauptverfasser: Braga, Bruno M., Farah, Ilijas, Vignati, Alessandro
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we study embeddings of uniform Roe algebras. Generally speaking, given metric spaces X and Y , we are interested in which large scale geometric properties are stable under embedding of the uniform Roe algebra of X into the uniform Roe algebra of  Y .
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-019-03539-9