Free Calculus on Operator Algebras | Operator Algebraic Calculus Induced by Certain Operators

Ilwoo Cho

ISBN 10: 3838325192 / ISBN 13: 9783838325194

Published by LAP LAMBERT Academic Publishing, 2010

Free Calculus on Operator Algebras | Operator Algebraic Calculus Induced by Certain Operators | Ilwoo Cho | Taschenbuch | 92 S. | Englisch | 2010 | LAP LAMBERT Academic Publishing | EAN 9783838325194 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu. Seller Inventory # 101429784

Synopsis:

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.

About the Author: Master Degree (Math): Sungkyunkwan Univ., and Univ. of Iowa / PhD (Math): Univ. of Iowa / Current Position: Assistant Professor, St. Ambrose Univ., Dep. of Mathematics.

Bibliographic Details

Title: Free Calculus on Operator Algebras | ...
Publisher: LAP LAMBERT Academic Publishing
Publication Date: 2010
Binding: Taschenbuch
Condition: Neu