ON THE UNIVERSAL TRO OF A JC*-TRIPLE, IDEALS AND TENSOR PRODUCTS
L. J. Bunce, Richard M. Timoney · The Quarterly Journal of Mathematics · 2012
In a development from material introduced in recent work, we discuss the interconnections between ternary rings of operators (TROs) and right C*-algebras generated by JC*-triples, deducing that every JC*-triple possesses a largest universally reversible ideal, that the universal TRO commutes with appropriate tensor products and establishing a reversibility criterion for type I JW*-triples.