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arXiv · 2105.03764

Hilbert C*-modules related to discrete metric spaces

V. Manuilov
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Abstract

It is shown that the metric on the union of the sets $X$ and $Y$ defines a Hilbert $C^*$-module over the uniform Roe algebra of the space $X$ with a fixed metric $d_X$. A number of examples of such Hilbert $C^*$-modules are described.

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V. Manuilov. 2021-05-08. Hilbert C*-modules related to discrete metric spaces. https://arxiv.org/abs/2105.03764

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