Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles: Basic…

Hardcover | March 28, 1988

byJ. M.g. FellEditorR. S. Doran

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This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-contained (except for some elementary knowledge in algebra, topology, and abstract measure theory). In the later chapters the reader is brought to the frontiers of present-day knowledge in the area of Mackey normal subgroup analysisand its generalization to the context of Banach *-Algebraic Bundles.

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This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-contained (except for some elementary knowledge in algebra, topology, and abstract...

Format:HardcoverDimensions:746 pages, 9 × 6 × 0.98 inPublished:March 28, 1988Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0122527216

ISBN - 13:9780122527210

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Table of Contents

OF VOLUME 1: Preliminaries. Integration Theories and Banach Bundles. Locally Compact Groups. Algebraic Representation Theory. Locally Convex Representations and Banach Algebras. C*-Algebras and Their *-Representations. The Topology of the Space of *-Representations. Appendixes. Bibliography.

Editorial Reviews

The authors have succeeded admirably, and these two volumes are a pleasure to read as well as being a valuable reference.[It] contains a valuable explanation of the relationship between representation theory and physics which every mathematician should be made aware of.--MATHEMATICAL REVIEWSThere are many helpful remarks and asides throughout the text as well as extensive exercises and historical discussions at the end of each chapter. These two volumes are a valuable addition to anyone's library as well as a pleasurable avenue to representation theory.--MATHEMATICAL REVIEWThe work is a most authoritative account of representation theory and Mackey's theory; it will no doubt become the standard work of references in thefield for years to come.--MONATSHEFTE FUR MATHEMATIKThese volumes have been prepared with great care. The exposition is clear and thorough.--AMERICAN MATHEMATICAL MONTHLY