Bowen-Franks groups as an invariant for flow equivalence of subshifts (Q2773060)
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scientific article; zbMATH DE number 1709204
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bowen-Franks groups as an invariant for flow equivalence of subshifts |
scientific article; zbMATH DE number 1709204 |
Statements
5 August 2002
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flow equivalence for subshifts
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\(K\)-groups
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Bowen-Franks groups
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0.89450186
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0.89351845
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0.8774367
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0.8752757
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0.86728215
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0.86442524
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0.8495538
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Bowen-Franks groups as an invariant for flow equivalence of subshifts (English)
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The author shows that \(K\)-groups and Bowen-Franks groups [\textit{R. Bowen} and \textit{J. Franks}, Ann. Math. (2) 106, 73--92 (1977; Zbl 0375.58018)] are invariants for flow equivalence of subshifts. Some similar but weaker results were known before [\textit{B. Parry} and \textit{D. Sullivan}, Topology 14, 297--299 (1975; Zbl 0314.54045)] and their proofs were based on \(C^*\)-algebra techniques. Here the author applies arguments from symbolic dynamics. Using this result he presents examples of non-sofic subshifts that are not flow equivalent.
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