About: Bratteli diagram

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In mathematics, a Bratteli diagram is a combinatorial structure: a graph composed of vertices labelled by positive integers ("level") and unoriented edges between vertices having levels differing by one. The notion was introduced by Ola Bratteli in 1972 in the theory of operator algebras to describe directed sequences of finite-dimensional algebras: it played an important role in Elliott's classification of AF-algebras and the theory of subfactors. Subsequently Anatoly Vershik associated dynamical systems with infinite paths in such graphs.

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  • Bratteli-Diagramme, benannt nach Ola Bratteli, sind spezielle im mathematischen Teilgebiet der Funktionalanalysis verwendete Graphen. Sie werden bei der Untersuchung der Struktur von AF-C*-Algebren (kurz AF-Algebren) eingesetzt. (de)
  • In mathematics, a Bratteli diagram is a combinatorial structure: a graph composed of vertices labelled by positive integers ("level") and unoriented edges between vertices having levels differing by one. The notion was introduced by Ola Bratteli in 1972 in the theory of operator algebras to describe directed sequences of finite-dimensional algebras: it played an important role in Elliott's classification of AF-algebras and the theory of subfactors. Subsequently Anatoly Vershik associated dynamical systems with infinite paths in such graphs. (en)
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  • Bratteli-Diagramme, benannt nach Ola Bratteli, sind spezielle im mathematischen Teilgebiet der Funktionalanalysis verwendete Graphen. Sie werden bei der Untersuchung der Struktur von AF-C*-Algebren (kurz AF-Algebren) eingesetzt. (de)
  • In mathematics, a Bratteli diagram is a combinatorial structure: a graph composed of vertices labelled by positive integers ("level") and unoriented edges between vertices having levels differing by one. The notion was introduced by Ola Bratteli in 1972 in the theory of operator algebras to describe directed sequences of finite-dimensional algebras: it played an important role in Elliott's classification of AF-algebras and the theory of subfactors. Subsequently Anatoly Vershik associated dynamical systems with infinite paths in such graphs. (en)
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  • Bratteli-Diagramm (de)
  • Bratteli diagram (en)
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