Fundamentals of Infinite Dimensional Representation Theory

ISBN-13: 9780367398408 / Angielski / Miękka / 2019 / 448 str.

Raymond C. Fabec

Opis

Infinite dimensional representation theory has become one of the mainstays of modern mathematics. This book 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 results in a coherent and natural manner and studies the tools useful in various areas of this diversely applied subject. The author's self-contained treatment allows readers to choose from a variety of topics and pursue them independently according to their needs. Beyond serving as both a general reference and as a text, this monograph helps reveal not only the subject's utility, but also its inherent beauty.

Spis treści

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.

O autorze

Fabec, Raymond C.