Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles: Banach *-Algebraic Bundles, Induced Representations, and the . 2) (Pure and Applied Mathematics, Volume 2)

Fell, J. M.G. [Editor]; Doran, R. S. [Editor];

ISBN 10: 0122527224 / ISBN 13: 9780122527227

Published by Academic Press, 1988

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Bibliographic Details

• Title: Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles: Banach *-Algebraic Bundles, Induced Representations, and the . 2) (Pure and Applied Mathematics, Volume 2)
• Publisher: Academic Press
• Publication Date: 1988
• Language: English
• ISBN 10: 0122527224
• ISBN 13: 9780122527227
• Binding: Hardcover
• Condition: New

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Synopsis

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.

Review

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 REVIEWS
There 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 REVIEW
The 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 MATHEMATIK
These volumes have been prepared with great care. The exposition is clear and thorough.
--AMERICAN MATHEMATICAL MONTHLY