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Structure and representations of noncommutative C*-Jordan algebras

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Abstract

We show that a unital n.c. (noncommutative) JB*-algebra has a faithful family of factor-representations of type I and determine the structure of n.c. JB*-factors: A n.c. JB*-factor is a commutative Jordan algebra, or flexible quadratic, or a quasi CC*-algebra.

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Braun, R.B. Structure and representations of noncommutative C*-Jordan algebras. Manuscripta Math 41, 139–171 (1983). https://doi.org/10.1007/BF01165932

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