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PRIME NON-COMMUTATIVE JB*-ALGEBRAS
Published online by Cambridge University Press: 21 December 2000
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.
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- © The London Mathematical Society 2000
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