Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles ：Basic Representation Theory of Groups and Algebras ( Volume 1 )

Publication subTitle ：Basic Representation Theory of Groups and Algebras

Publication series ：Volume 1

Author： Fell J. M. G.;Doran R. S.

Publisher： Elsevier Science‎

Publication year： 1988

E-ISBN: 9780080874449

P-ISBN(Paperback): 9780122527210

P-ISBN(Hardback): 9780122527210

Subject： O152 group theory

Language： ENG

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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.

Chapter

Front Cover

pp.： 1 – 4

Basic Representation Theory of Groups and Algebras

pp.： 4 – 5

pp.： 5 – 8

Contents

pp.： 8 – 14

Preface

pp.： 14 – 20

Introduction to Volume 1 (Capter I to VII)

pp.： 20 – 60

Chapter I Preliminaries

pp.： 60 – 82

Chapter II Integration Theory and Banach Bundles

pp.： 82 – 182

Chapter III Locally Compact Groups

pp.： 182 – 284

Chapter IV Algebraic Representation Theory

pp.： 284 – 342

Chapter V Locally Convex Representations and Banach Algebras

pp.： 342 – 396

Chapter VI C*-Algebras and Their *-Representations

pp.： 396 – 558

Chapter VII The Topology of the Space of *-Representations

pp.： 558 – 632

Appendix A The Stone–Weierstrass Theorems

pp.： 632 – 638

Appendix B Unbounded Operators in Hilbert Space

pp.： 638 – 652

Appendix C The Existence of Continuous Cross-Sections of Banach Bundles

pp.： 652 – 662

Bibliography

pp.： 662 – 740

Name Index

pp.： 740 – 744

Subject Index

pp.： 744 – 758

Index of Notation

pp.： 758 – 772

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