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
Edité par 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. N° de réf. du vendeur 106706581
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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.
Présentation de l'éditeur: 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.
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Titre : The Index Semigroup Induced by Finite Trees ...
Éditeur : LAP LAMBERT Academic Publishing
Date d'édition : 2011
Reliure : Taschenbuch
Etat : Neu
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The Index Semigroup Induced by Finite Trees
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LAP LAMBERT Academic Publishing, 2011
ISBN 10 : 3846590150
ISBN 13 : 9783846590157
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: CHO ILWOOMaster Degrees: Sungkyunkwan University and University of Iowa (Math) / Ph.D : University of Iowa (Math) / Current Position: Assistant Professor in Saint Ambrose UniversityIn this monograph, we study graph-index, Watatan. N° de réf. du vendeur 5501677
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The Index Semigroup Induced by Finite Trees
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ISBN 10 : 3846590150
ISBN 13 : 9783846590157
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 88 pp. Englisch. N° de réf. du vendeur 9783846590157
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The Index Semigroup Induced by Finite Trees : Index Morphisms and Classification of von Neumann Algebras Induced by Finite Trees
Edité par
LAP LAMBERT Academic Publishing, 2011
ISBN 10 : 3846590150
ISBN 13 : 9783846590157
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. N° de réf. du vendeur 9783846590157
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The Index Semigroup Induced by Finite Trees
Edité par
LAP LAMBERT Academic Publishing Dez 2011, 2011
ISBN 10 : 3846590150
ISBN 13 : 9783846590157
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. Neuware -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.Books on Demand GmbH, Überseering 33, 22297 Hamburg 88 pp. Englisch. N° de réf. du vendeur 9783846590157
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The Index Semigroup Induced by Finite Trees: Index Morphisms and Classification of von Neumann Algebras Induced by Finite Trees
Edité par
LAP LAMBERT Academic Publishing, 2011
ISBN 10 : 3846590150
ISBN 13 : 9783846590157
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