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Prime Non‐Commutative JB *‐Algebras
Author(s) -
El Amin Kaidi,
Campoy Antonio Morales,
Palacios Angel Rodriguez
Publication year - 2000
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s002460930000758x
Subject(s) - mathematics , prime (order theory) , commutative property , quadratic equation , pure mathematics , algebra over a field , mathematics subject classification , commutative ring , product (mathematics) , combinatorics , geometry
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 ⩽ 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 = λ x ∘ y +(1 − λ) y ∘ x . 2000 Mathematics Subject Classification 46K70, 46L70.