Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles
Basic Representation Theory of Groups and Algebras

Pure and Applied Mathematics Series, Vol. 1

Coordinators: Fell J. M.G., Doran R. S.

Language: Anglais

61.75 €

Subject to availability at the publisher.

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746 p. · 15.2x22.9 cm
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 1: Preliminaries. Integration Theories and Banach Bundles. Locally Compact Groups. Algebraic Representation Theory. Locally Convex Representations and Banach Algebras. C*-Algebras and Their *-Representations. The Topology of the Space of *-Representations. Appendixes. Bibliography.
Graduate students and research mathematicians.