Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles, Volume 1

1st Edition

Basic Representation Theory of Groups and Algebras

Editors: J. Fell R. Doran
Hardcover ISBN: 9780122527210
eBook ISBN: 9780080874449
Imprint: Academic Press
Published Date: 28th March 1988
Page Count: 746
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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.

Description

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.

Readership

Graduate students and research mathematicians.


Details

No. of pages:
746
Language:
English
Copyright:
© Academic Press 1988
Published:
Imprint:
Academic Press
eBook ISBN:
9780080874449
Hardcover ISBN:
9780122527210

Reviews

@qu: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. @source:--MATHEMATICAL REVIEWS @qu: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. @source:--MATHEMATICAL REVIEW @qu: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. @source:--MONATSHEFTE FUR MATHEMATIK @qu:These volumes have been prepared with great care. The exposition is clear and thorough. @source:--AMERICAN MATHEMATICAL MONTHLY


About the Editors

J. Fell Editor

Affiliations and Expertise

University of Pennsylvania

R. Doran Editor

Affiliations and Expertise

Texas Christian University