graph groupoids partial isometries von cho ilwoo (5 Ergebnisse)

Taschenbuch. Zustand: 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.

Taschenbuch. Zustand: 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: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu.

Taschenbuch. Zustand: 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.

Zustand: 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.

Taschenbuch. Zustand: 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.