Vol. 35, No. 1, 1970

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Real Cāˆ—-algebras

Theodore Windle Palmer

Vol. 35 (1970), No. 1, 195ā€“204
Abstract

Several variants of the classical Gelfand-Neumark characterization of complex C-algebras are here extended to characterize real C-algebras up to isometric*-isomorphism and also up to homeomorphic -isomorphism. The proofs depend on norming the complexification of the real algebra and applying the author’s characterization of complex C-algebras to the result. L. Ingelstam has obtained similar but weaker results by an entirely different method.

Mathematical Subject Classification
Primary: 46.60
Milestones
Received: 6 March 1969
Published: 1 October 1970
Authors
Theodore Windle Palmer