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Representations of *-Algebras, Locally Compact Groups and Banach
J. Fell, R. Doran
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.
OF VOLUME 2: Banach -Algebraic Bundles and Their Representations. Compact Groups. Abelian Groups and Commutative Banach -Algebraic Bundles. Induced Representations and the Imprimitivity Theorem. The Generalized Mackey Analysis. Bibliography.