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Algebres topologiques --- K-theorie --- C etoile-algebres --- C star algebres

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Algebres topologiques --- C etoile-algebres --- Espaces vectoriels topologiques --- C star algebres --- Produits tensoriels

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This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasises the role of *-algebra structure and explores the algebraic results which underlie the theory of Banach algebras and *-algebras. This first volume is an independent, self-contained reference on Banach algebra theory. Each topic is treated in the maximum interesting generality within the framework of some class complex algebras rather than topological algebras. In both volumes proofs are presented in complete detail at a level accessible to graduate students. In addition, the books contain a wealth of historical comments, background material, examples, particularly in noncommutative harmonic analysis, and an extensive bibliography. Together these books will become the standard reference for the general theory of *-algebras.

Operator theory --- Banach algebras --- Banach algebras. --- Algebras, Banach --- Banach rings --- Metric rings --- Normed rings --- Banach spaces --- Topological algebras --- Algebres de banach --- Algebres topologiques --- C star algebres

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Analytical spaces --- C*-algebras --- Automorphisms --- 517.986 --- Algebras, C star --- Algebras, W star --- C star algebras --- W star algebras --- W*-algebras --- Banach algebras --- Group theory --- Symmetry (Mathematics) --- Topological algebras. Theory of infinite-dimensional representations --- C*-algebras. --- Automorphisms. --- 517.986 Topological algebras. Theory of infinite-dimensional representations --- Algebres topologiques --- C etoile-algebres --- C star algebres

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Algèbres de groupes. --- Group algebras --- C*-algebras --- Geometry, Algebraic --- 517.986 --- 517.986 Topological algebras. Theory of infinite-dimensional representations --- Topological algebras. Theory of infinite-dimensional representations --- Algebraic geometry --- Geometry --- Algebras, C star --- Algebras, W star --- C star algebras --- W star algebras --- W*-algebras --- Banach algebras --- Algèbres de groupes --- Algebres topologiques --- C etoile-algebres --- Algebres de lie --- Geometrie non commutative --- C star algebres