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Published in:
1987 | OriginalPaper | Chapter
C*-Algebras and von Neumann Algebras
Authors : Professor Ola Bratteli, Professor Derek W. Robinson
Published in: Operator Algebras and Quantum Statistical Mechanics 1
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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C*-algebra theory is an abstraction of the structure of certain algebras of bounded operators acting on a Hilbert space and is simultaneously a special case of the theory of Banach algebras. Consequently, the theory can be developed in two different ways. Either one can begin with an abstract description suited to the general analysis of Banach algebras or one may start with a specific representation of the algebra on a Hilbert space. We will follow the first of these approaches.