Hilbert \(C^*\)-modules related to discrete metric spaces (Q2041613)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hilbert \(C^*\)-modules related to discrete metric spaces |
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Hilbert \(C^*\)-modules related to discrete metric spaces (English)
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23 July 2021
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The author proves that a metric space is bounded if and only if the the uniform Roe \(C^*\)-algebra is monotone complete. He also demonstrates the variety of Hilbert \(C^*\)-modules using the example of modules over uniform Roe algebras.
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metric space
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Roe algebra
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\(C^*\)-algebra
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Hilbert \(C^*\)-module
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dual Hilbert \(C^*\)-module
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