The Index Semigroup Induced by Finite Trees | Index Morphisms and Classification of von Neumann Algebras Induced by Finite Trees

Ilwoo Cho

ISBN 10: 3846590150 / ISBN 13: 9783846590157

Editore: LAP LAMBERT Academic Publishing, 2011

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The Index Semigroup Induced by Finite Trees | Index Morphisms and Classification of von Neumann Algebras Induced by Finite Trees | Ilwoo Cho | Taschenbuch | 88 S. | Englisch | 2011 | LAP LAMBERT Academic Publishing | EAN 9783846590157 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu.

Codice articolo 106706581

Dati bibliografici

• Titolo: The Index Semigroup Induced by Finite Trees | Index Morphisms and Classification of von Neumann Algebras Induced by Finite Trees
• Editore: LAP LAMBERT Academic Publishing
• Data di pubblicazione: 2011
• Lingua: Inglese
• ISBN 10: 3846590150
• ISBN 13: 9783846590157
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 220 L x 150 A x 6 P (millimetri) 220 millimetri di larghezza per 150 millimetri di altezza per 6 millimetri di profondità
• Peso: 149 grammi
• Cataloghi dei venditori:
  • Bücher

Descrizione articolo

Riassunto

In this monograph, we study graph-index, Watatani's extended Jones index, and the relations between them. From this investigation, we realize that graph-index of graphs and Jones index of von Neumann algebras generated by "graph groupoids" are equivalent in a certain sense, whenver given graphs are finite trees. We provides the classification of graph-groupoid von Neumann algebras induced by finite trees with respect to these equivalent indexes. By understanding the indexings as morphisms, we establish actions of morphisms and construct the corresponding algebraic structure, called the "index semigroup." We study the fundamental properties of them. As application, we consider the connection between our index semigroup and K-groups of finite-tree-groupoid von Neumann algebras.

L'autore

Master Degrees: Sungkyunkwan University and University of Iowa (Math) / Ph.D : University of Iowa (Math) / Current Position: Assistant Professor in Saint Ambrose University