Fundamentals of Infinite Dimensional Representation Theory: 1st Edition (Hardback) book cover

Fundamentals of Infinite Dimensional Representation Theory

1st Edition

By Raymond C. Fabec

Chapman and Hall/CRC

448 pages

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Description

Infinite dimensional representation theory blossomed in the latter half of the twentieth century, developing in part with quantum mechanics and becoming one of the mainstays of modern mathematics. Fundamentals of Infinite Dimensional Representation Theory provides an accessible account of the topics in analytic group representation theory and operator algebras from which much of the subject has evolved. It presents new and old results in a coherent and natural manner and studies a number of tools useful in various areas of this diversely applied subject.

From Borel spaces and selection theorems to Mackey's theory of induction, measures on homogeneous spaces, and the theory of left Hilbert algebras, the author's self-contained treatment allows readers to choose from a wide variety of topics and pursue them independently according to their needs. Beyond serving as both a general reference and as a text for those requiring a background in group-operator algebra representation theory, for careful readers, this monograph helps reveal not only the subject's utility, but also its inherent beauty.

Table of Contents

Borel Spaces and Selection Theorems. Preliminaries of C* Algebras. Type One von Neumann Algebras. Groups and Group Actions. Induced Actions and Representations. Dual Topologies. Left Hilbert Algebras. The Fourier-Stieltjes Algebra.

About the Author

Fabec, Raymond C.

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT002000
MATHEMATICS / Algebra / General
MAT037000
MATHEMATICS / Functional Analysis
SCI040000
SCIENCE / Mathematical Physics