Operator space structure of JC*-triples and TROs, I
Operator Algebras
2010-07-08 v1 Functional Analysis
Abstract
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.
Cite
@article{arxiv.1007.1085,
title = {Operator space structure of JC*-triples and TROs, I},
author = {Leslie J. Bunce and Brian Feely and Richard M. Timoney},
journal= {arXiv preprint arXiv:1007.1085},
year = {2010}
}
Comments
27 pages