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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.
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