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Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles : Basic Representation Theory of Groups and Algebras Volume 1 - J. M. G. Fell
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Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles

Basic Representation Theory of Groups and Algebras Volume 1

By: J. M. G. Fell (Editor), R. S. Doran (Editor)

Hardcover | 28 March 1988

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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.
Industry 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 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

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