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The Universal Enveloping Ternary Ring of Operators of a JB*-Triple System

Published online by Cambridge University Press:  22 November 2013

Dennis Bohle  and
Wend Werner
Dennis Bohle
Affiliation:
Fachbereich Mathematik und Informatik, Westfälische Wilhelms-Universität, Einsteinstraße 62, 48149 Münster, Germany, (dennis.bohle@math.uni-muenster.de; wwerner@math.uni-muenster.de)
Wend Werner
Affiliation:
Fachbereich Mathematik und Informatik, Westfälische Wilhelms-Universität, Einsteinstraße 62, 48149 Münster, Germany, (dennis.bohle@math.uni-muenster.de; wwerner@math.uni-muenster.de)
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Abstract

We associate to every JB*-triple system a so-called universal enveloping ternary ring of operators (TRO). We compute the universal enveloping TROs of the finite dimensional Cartan factors.

Keywords

JC*-triple systemJ*-algebraCartan factorternary ring of operatorsternary algebrauniversal enveloping TROPrimary 17C6546L70
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 57 , Issue 2 , June 2014 , pp. 347 - 366
Copyright
Copyright © Edinburgh Mathematical Society 2014 

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