The Structure of Compact Groups: A Primer for the Student – A Handbook for the Expert, 5th Edition

Description
This revised fifth edition serves as both a textbook for graduate courses and a reference for researchers who need to use the structure and representation theory of compact groups. Updates address the Bohr compactification of pro-Lie groups, the Lie Theory of Compact Groups with the Exponential Function, and recent work on the theory of weakly complete vector spaces applied to the structure theory of compact groups.

Thorough introduction to compact groups, which have applications in algebra, topology, functional analysis, and theoretical physics.
Thrust of the book points to structure theory of infinite dimensional, not necessarily commutative compact groups.