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Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles. Banach *-Algebraic Bundles, Induced Representations, and the Generalized Mackey Analysis. Pure and Applied Mathematics Volume 2

  • ID: 1762908
  • Book
  • May 1988
  • Elsevier Science and Technology

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.

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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.
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J. M.G. Fell University of Pennsylvania.

R. S. Doran Texas Christian University.
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