Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles
Basic Representation Theory of Groups and Algebras
- J. Fell, University of Pennsylvania
- R. Doran, Texas Christian University
This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-contained (except for some elementary knowledge in algebra, topology, and abstract measure theory). In the later chapters the reader is brought to the frontiers of present-day knowledge in the area of Mackey normal subgroup analysisand its generalization to the context of Banach *-Algebraic Bundles.
Graduate students and research mathematicians.