Fundamentals of Infinite Dimensional Representation Theory - Raymond C. Fabec

Fundamentals of Infinite Dimensional Representation Theory

Buch | Hardcover
448 Seiten
2000
Chapman & Hall/CRC (Verlag)
978-1-58488-212-1 (ISBN)
218,20 inkl. MwSt
Infinite dimensional representation theory has become one of the mainstays of modern mathematics. This book provides an account of the topics in analytic group representation theory and operator algebras from which much of the subject has evolved. It studies the tools useful in various areas of this diversely applied subject.
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.

Fabec, Raymond C.

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.

Erscheint lt. Verlag 28.6.2000
Sprache englisch
Maße 156 x 234 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie
ISBN-10 1-58488-212-3 / 1584882123
ISBN-13 978-1-58488-212-1 / 9781584882121
Zustand Neuware
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