Volume 2. Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles

1st Edition

Banach *-Algebraic Bundles, Induced Representations, and the Generalized Mackey Analysis

Editors:

  • J. Fell
  • R. Doran
  • 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.

    Table of Contents

    OF VOLUME 2: Banach *-Algebraic Bundles and Their Representations. Compact Groups. Abelian Groups and Commutative Banach *-Algebraic Bundles. Induced Representations and the Imprimitivity Theorem. The Generalized Mackey Analysis. Bibliography.

    Details

    No. of pages:
    752
    Language:
    English
    Copyright:
    © 1988
    Published:
    Imprint:
    Academic Press
    Print ISBN:
    9780122527227
    Electronic ISBN:
    9780080874456

    About the editors

    J. Fell

    Affiliations and Expertise

    University of Pennsylvania

    R. Doran

    Affiliations and Expertise

    Texas Christian University

    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