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Graph Groupoids and Partial Isometries: Connection Between Hilbert Space Operators and Graphs - Couverture souple
Synopsis
In this monograph, we consider the connection between graphs and Hilbert space operators. In particular, we are interested in the algebraic structures, called graph groupoids, embedded in operator algebras. In Part 1, we consider the connection from graphs to partial isometries. Every element in graph groupoids assigns an operator, which is either a partial isometry or a projection, under suitable representations. The von Neumann algebras induced by the dynamical systems of graph groupoids are characterized. In Part 2, we observe the connection from partial isometries to graphs. We show that a finite family of partial isometries on a fixed Hilbert space H creates the corresponding graph, and the graph groupoid of it is an embedded groupoid inside B(H). Moreover, the C*-subalgebra generated by the family is *-isomorphic to the groupoid algebra generated by the graph groupoid of the corresponding graph. As application, we consider the C*-subalagebras generated by a single operator.
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Présentation de l'éditeur
In this monograph, we consider the connection between graphs and Hilbert space operators. In particular, we are interested in the algebraic structures, called graph groupoids, embedded in operator algebras. In Part 1, we consider the connection from graphs to partial isometries. Every element in graph groupoids assigns an operator, which is either a partial isometry or a projection, under suitable representations. The von Neumann algebras induced by the dynamical systems of graph groupoids are characterized. In Part 2, we observe the connection from partial isometries to graphs. We show that a finite family of partial isometries on a fixed Hilbert space H creates the corresponding graph, and the graph groupoid of it is an embedded groupoid inside B(H). Moreover, the C*-subalgebra generated by the family is *-isomorphic to the groupoid algebra generated by the graph groupoid of the corresponding graph. As application, we consider the C*-subalagebras generated by a single operator.
Biographie de l'auteur
Master D. (Math) : Sungkyunkwan Univ., and Univ. of Iowa / Ph D. (Math) : Univ. of Iowa / Current Position : Assistant Professor of St. Ambrose Univ. (Davenport, Iowa, U. S. A.)
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Graph Groupoids and Partial Isometries
Edité par
LAP LAMBERT Academic Publishing Mai 2010, 2010
ISBN 10 : 3838313976
ISBN 13 : 9783838313979
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this monograph, we consider the connection between graphs and Hilbert space operators. In particular, we are interested in the algebraic structures, called graph groupoids, embedded in operator algebras. In Part 1, we consider the connection from graphs to partial isometries. Every element in graph groupoids assigns an operator, which is either a partial isometry or a projection, under suitable representations. The von Neumann algebras induced by the dynamical systems of graph groupoids are characterized. In Part 2, we observe the connection from partial isometries to graphs. We show that a finite family of partial isometries on a fixed Hilbert space H creates the corresponding graph, and the graph groupoid of it is an embedded groupoid inside B(H). Moreover, the C -subalgebra generated by the family is -isomorphic to the groupoid algebra generated by the graph groupoid of the corresponding graph. As application, we consider the C -subalagebras generated by a single operator. 92 pp. Englisch. N° de réf. du vendeur 9783838313979
Quantité disponible : 2 disponible(s)
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Graph Groupoids and Partial Isometries
Edité par
LAP LAMBERT Academic Publishing, 2010
ISBN 10 : 3838313976
ISBN 13 : 9783838313979
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
Évaluation du vendeur 4 sur 5 étoiles
Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: CHO ILWOOMaster D. (Math) : Sungkyunkwan Univ., and Univ. of Iowa /Ph D. (Math) : Univ. of Iowa /Current Position : Assistant Professor of St. Ambrose Univ. (Davenport, Iowa, U. S. A.)In this monograph, we consider the connection. N° de réf. du vendeur 5412089
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Graph Groupoids and Partial Isometries
Edité par
LAP LAMBERT Academic Publishing Mai 2010, 2010
ISBN 10 : 3838313976
ISBN 13 : 9783838313979
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Neuware -In this monograph, we consider the connection between graphs and Hilbert space operators. In particular, we are interested in the algebraic structures, called graph groupoids, embedded in operator algebras. In Part 1, we consider the connection from graphs to partial isometries. Every element in graph groupoids assigns an operator, which is either a partial isometry or a projection, under suitable representations. The von Neumann algebras induced by the dynamical systems of graph groupoids are characterized. In Part 2, we observe the connection from partial isometries to graphs. We show that a finite family of partial isometries on a fixed Hilbert space H creates the corresponding graph, and the graph groupoid of it is an embedded groupoid inside B(H). Moreover, the C\*-subalgebra generated by the family is \*-isomorphic to the groupoid algebra generated by the graph groupoid of the corresponding graph. As application, we consider the C\*-subalagebras generated by a single operator.Books on Demand GmbH, Überseering 33, 22297 Hamburg 92 pp. Englisch. N° de réf. du vendeur 9783838313979
Quantité disponible : 2 disponible(s)
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Graph Groupoids and Partial Isometries : Connection Between Hilbert Space Operators and Graphs
Edité par
LAP LAMBERT Academic Publishing, 2009
ISBN 10 : 3838313976
ISBN 13 : 9783838313979
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - In this monograph, we consider the connection between graphs and Hilbert space operators. In particular, we are interested in the algebraic structures, called graph groupoids, embedded in operator algebras. In Part 1, we consider the connection from graphs to partial isometries. Every element in graph groupoids assigns an operator, which is either a partial isometry or a projection, under suitable representations. The von Neumann algebras induced by the dynamical systems of graph groupoids are characterized. In Part 2, we observe the connection from partial isometries to graphs. We show that a finite family of partial isometries on a fixed Hilbert space H creates the corresponding graph, and the graph groupoid of it is an embedded groupoid inside B(H). Moreover, the C -subalgebra generated by the family is -isomorphic to the groupoid algebra generated by the graph groupoid of the corresponding graph. As application, we consider the C -subalagebras generated by a single operator. N° de réf. du vendeur 9783838313979
Quantité disponible : 1 disponible(s)