Graph Groupoids and Partial Isometries: Connection Between Hilbert Space Operators and Graphs - Softcover
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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About the Author
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
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LAP LAMBERT Academic Publishing Mai 2010, 2010
ISBN 10: 3838313976
ISBN 13: 9783838313979
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Taschenbuch. Condition: 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. Seller Inventory # 9783838313979
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Graph Groupoids and Partial Isometries
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ISBN 13: 9783838313979
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Condition: 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. Seller Inventory # 5412089
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Graph Groupoids and Partial Isometries
Published by
LAP LAMBERT Academic Publishing Mai 2010, 2010
ISBN 10: 3838313976
ISBN 13: 9783838313979
New
Taschenbuch
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. 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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 92 pp. Englisch. Seller Inventory # 9783838313979
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Graph Groupoids and Partial Isometries : Connection Between Hilbert Space Operators and Graphs
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ISBN 10: 3838313976
ISBN 13: 9783838313979
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Taschenbuch. Condition: 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. Seller Inventory # 9783838313979
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Graph Groupoids and Partial Isometries | Connection Between Hilbert Space Operators and Graphs
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ISBN 10: 3838313976
ISBN 13: 9783838313979
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Taschenbuch. Condition: Neu. Graph Groupoids and Partial Isometries | Connection Between Hilbert Space Operators and Graphs | Ilwoo Cho | Taschenbuch | 92 S. | Englisch | 2010 | LAP LAMBERT Academic Publishing | EAN 9783838313979 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Seller Inventory # 101490297