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PRIME NON-COMMUTATIVE JB*-ALGEBRAS

Published online by Cambridge University Press:  21 December 2000

KAIDI EL AMIN ,
ANTONIO MORALES CAMPOY  and
ANGEL RODRIGUEZ PALACIOS
KAIDI EL AMIN
Affiliation:
Departamento de Algebra y Análisis Matemático, Universidad de Almería, Facultad de Ciencias Experimentales, 04120-Almería, Spain
ANTONIO MORALES CAMPOY
Affiliation:
Departamento de Algebra y Análisis Matemático, Universidad de Almería, Facultad de Ciencias Experimentales, 04120-Almería, Spain
ANGEL RODRIGUEZ PALACIOS
Affiliation:
Departamento de Análisis Matemático, Universidad de Granada, Facultad de Ciencias, 18071-Granada, Spain
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Abstract

We prove that if A is a prime non-commutative JB*-algebra which is neither quadratic nor commutative, then there exist a prime C*-algebra B and a real number λ with ½ < λ [les ] 1 such that A = B as involutive Banach spaces, and the product of A is related to that of B (denoted by ∘, say) by means of the equality xy = λx ∘ y + (1 − λ)y ∘ x.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 6 , November 2000 , pp. 703 - 708
Copyright
© The London Mathematical Society 2000

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