Commutativity ofC*-algebras and associativity ofJB*-algebras

Author:

Iochum B.,Loupias G.,Rodriguez-Palacios A.

Abstract

AbstractA 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 forC*-algebras. Different characterizations of associativity are given.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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