Geodesic
Hilbert $C^*$-modules related to discrete metric spaces
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2021), pp. 55-63.

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It is shown that a metric on the union of the sets $X$ and $Y$ determines a Hilbert $C^*$-module over the uniform Roe algebra of the space $X$. Several examples of such Hilbert $C^*$-modules are described in detail.
Keywords: metric space, Roe algebra, $C^*$-algebra, Hilbert $C^*$-module. 
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V. M. Manuilov. Hilbert $C^*$-modules related to discrete metric spaces. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2021), pp. 55-63. http://geodesic.mathdoc.fr/item/IVM_2021_5_a7/

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