Mathematics – Operator Algebras
Scientific paper
2010-07-07
Mathematics
Operator Algebras
27 pages
Scientific paper
We embark upon a systematic investigation of operator space structure of JC*-triples via a study of the TROs (ternary rings of operators) they generate. Our approach is to introduce and develop a variety of universal objects, including universal TROs, by which means we are able to describe all possible operator space structures of a JC*-triple. Via the concept of reversibility we obtain characterisations of universal TROs over a wide range of examples. We apply our results to obtain explicit descriptions of operator space structures of Cartan factors regardless of dimension.
Bunce Leslie J.
Feely Brian
Timoney Richard M.
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