Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles: Banach *-Algebraic Bundles, Induced Representations, and the Generalized Mackey Analysis

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J. M.G. Fell, R. S. Doran
Academic Press, May 1, 1988 - Mathematics - 752 pages
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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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Contents

Introduction to Volume 2 Chapters VIII to XII
747
Chapter VIII Banach Algebraic Bundles and Their Representations
771
Chapter IX Compact Groups
931
Chapter X Abelian Groups and Commutative Banach Algebraic Bundles
999
Chapter XI Induced Representations and the Imprimitivity Theorem
1049
Chapter XII The Generalized Mackey Analysis
1243
Bibliography
1373
Name Index
1451
Subject Index
1457
Index of Notation
1477
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