Maximal and reduced Roe algebras of coarsely embeddable spaces

Abstract

In [7], Gong, Wang and Yu introduced a maximal, or universal, version of the Roe C∗-algebra associated to a metric space. We study the relationship between this maximal Roe algebra and the usual version, in both the uniform and non-uniform cases. The main result is that if a (uniformly discrete, bounded geometry) metric space X coarsely embeds in a Hilbert… (More)

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