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Commutativity of C*-algebras and associativity of JB*-algebras

Published online by Cambridge University Press:  28 June 2011

B. Iochum ,
G. Loupias  and
A. Rodriguez-Palacios
B. Iochum
Affiliation:
Centre de Physique Théorique, CNRS-Luminy, Case 907, F-13288, Marseille Cedex 09, France
G. Loupias
Affiliation:
Département de Physique Mathématique, Université des Sciences et Techniques du Languedoc, 34060 Montpellier Cedex, France
A. Rodriguez-Palacios
Affiliation:
Universidad de Granada, Facultad de Ciencias, Departamento de Analisis Matematico, 18071 Granada, Spain
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Abstract

A n.c. JB*-algebra is associative and commutative if and only if it has no non-zero nilpotent elements. This generalizes the analogous theorem of Kaplansky for C*-algebras. Different characterizations of associativity are given.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 106 , Issue 2 , September 1989 , pp. 281 - 291
Copyright
Copyright © Cambridge Philosophical Society 1989

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