Dynamical correspondences of \(L^2\)-Betti numbers (Q1733161)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dynamical correspondences of \(L^2\)-Betti numbers |
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Dynamical correspondences of \(L^2\)-Betti numbers (English)
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21 March 2019
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Summary: We investigate dynamical analogues of the \(L^2\)-Betti numbers for modules over integral group ring of a discrete sofic group. In particular, we show that the \(L^2\)-Betti numbers exactly measure the failure of addition formula for dynamical invariants.
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sofic group
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mean dimension
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mean rank
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\(L^2\)-Betti number
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dimension-flatness
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