Basic representation theory of groups and algebras

Bibliographic Information

Basic representation theory of groups and algebras

J.M.G. Fell, R.S. Doran

(Pure and applied mathematics, v. 125 . Representations of *-algebras, locally compact groups, and Banach *-algebraic bundles / J.M.G. Fell, R.S. Doran ; Vol. 1)

Academic Press, c1988

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Includes bibliographies and indexes

Description and Table of Contents

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.

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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