In this monograph, we consider free calculus on operator algebras. In Part 1, we consider structure theorems for a C*-algebra generated by a finite family F of partial isometries on a Hilbert space. We show that, whenever such a family is given, there always exists the corresponding graph G of F. Moreover, the graph groupoid of G shows how this family F works on H. We realize that C*-algebra C*(F), generated by F is *-isomorphic to the groupoid C*-algebra generated by the graph groupoid of G, under suitable (embedding) representations. In Part 2, we determine free calculus on C*(F). Free calculus consists of the differentiation, and the integration, like the usual calculus. The fundamental properties of them are studied. Also, we investigate free calculus on arbitrary C*-algebras. In Part 3, we extend the free calculus in the sense of Part 2 to that on groupoid C*-dynamical systems.
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In this monograph, we consider free calculus on operator algebras. In Part 1, we consider structure theorems for a C*-algebra generated by a finite family F of partial isometries on a Hilbert space. We show that, whenever such a family is given, there always exists the corresponding graph G of F. Moreover, the graph groupoid of G shows how this family F works on H. We realize that C*-algebra C*(F), generated by F is *-isomorphic to the groupoid C*-algebra generated by the graph groupoid of G, under suitable (embedding) representations. In Part 2, we determine free calculus on C*(F). Free calculus consists of the differentiation, and the integration, like the usual calculus. The fundamental properties of them are studied. Also, we investigate free calculus on arbitrary C*-algebras. In Part 3, we extend the free calculus in the sense of Part 2 to that on groupoid C*-dynamical systems.
Master Degree (Math): Sungkyunkwan Univ., and Univ. of Iowa / PhD (Math): Univ. of Iowa / Current Position: Assistant Professor, St. Ambrose Univ., Dep. of Mathematics.
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this monograph, we consider free calculus on operator algebras. In Part 1, we consider structure theorems for a C -algebra generated by a finite family F of partial isometries on a Hilbert space. We show that, whenever such a family is given, there always exists the corresponding graph G of F. Moreover, the graph groupoid of G shows how this family F works on H. We realize that C -algebra C (F), generated by F is -isomorphic to the groupoid C -algebra generated by the graph groupoid of G, under suitable (embedding) representations. In Part 2, we determine free calculus on C (F). Free calculus consists of the differentiation, and the integration, like the usual calculus. The fundamental properties of them are studied. Also, we investigate free calculus on arbitrary C -algebras. In Part 3, we extend the free calculus in the sense of Part 2 to that on groupoid C -dynamical systems. 92 pp. Englisch. Bestandsnummer des Verkäufers 9783838325194
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: CHO ILWOOMaster Degree (Math): Sungkyunkwan Univ., and Univ. of Iowa / PhD (Math): Univ. of Iowa / Current Position: Assistant Professor, St. Ambrose Univ., Dep. of Mathematics.In this monograph, we consider free calculus on o. Bestandsnummer des Verkäufers 5413164
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Taschenbuch. Zustand: Neu. Neuware -In this monograph, we consider free calculus on operator algebras. In Part 1, we consider structure theorems for a C\*-algebra generated by a finite family F of partial isometries on a Hilbert space. We show that, whenever such a family is given, there always exists the corresponding graph G of F. Moreover, the graph groupoid of G shows how this family F works on H. We realize that C\*-algebra C\*(F), generated by F is \*-isomorphic to the groupoid C\*-algebra generated by the graph groupoid of G, under suitable (embedding) representations. In Part 2, we determine free calculus on C\*(F). Free calculus consists of the differentiation, and the integration, like the usual calculus. The fundamental properties of them are studied. Also, we investigate free calculus on arbitrary C\*-algebras. In Part 3, we extend the free calculus in the sense of Part 2 to that on groupoid C\*-dynamical systems.Books on Demand GmbH, Überseering 33, 22297 Hamburg 92 pp. Englisch. Bestandsnummer des Verkäufers 9783838325194
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Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - In this monograph, we consider free calculus on operator algebras. In Part 1, we consider structure theorems for a C -algebra generated by a finite family F of partial isometries on a Hilbert space. We show that, whenever such a family is given, there always exists the corresponding graph G of F. Moreover, the graph groupoid of G shows how this family F works on H. We realize that C -algebra C (F), generated by F is -isomorphic to the groupoid C -algebra generated by the graph groupoid of G, under suitable (embedding) representations. In Part 2, we determine free calculus on C (F). Free calculus consists of the differentiation, and the integration, like the usual calculus. The fundamental properties of them are studied. Also, we investigate free calculus on arbitrary C -algebras. In Part 3, we extend the free calculus in the sense of Part 2 to that on groupoid C -dynamical systems. Bestandsnummer des Verkäufers 9783838325194
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Paperback. Zustand: Brand New. 92 pages. 8.66x5.91x0.21 inches. In Stock. Bestandsnummer des Verkäufers 3838325192
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