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

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

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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.
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Product details

  • Hardback | 746 pages
  • 160 x 231.1 x 38.1mm | 1,179.35g
  • Academic Press Inc
  • San Diego, United States
  • English
  • 0122527216
  • 9780122527210

Review quote

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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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.
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