Vol. 78, No. 2, 1978

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Commutative non-Archimedean Cāˆ—-algebras

Gerard J. Murphy

Vol. 78 (1978), No. 2, 433ā€“446
Abstract

Commutative non-archimedean C-algebras are defined, their properties established, and a representation theory is developed for them. Their closed ideals are completely analyzed in terms of the closed subsets of the spectrum where they ‘vanish.’ A large class of C-algebras is exhibited. A Stone-Weierstrass theorem generalizing a result of Kaplansky is proved.

Mathematical Subject Classification 2000
Primary: 46P05, 46P05
Secondary: 46J99
Milestones
Received: 28 May 1976
Revised: 20 May 1977
Published: 1 October 1978
Authors
Gerard J. Murphy