Inclusions of ternary rings of operators and conditional expectations
Operator Algebras
2015-06-11 v3
Abstract
It is shown that if T is a ternary ring of operators (TRO), X is a nondegenerate sub-TRO of T and there exists a contractive idempotent surjective map P:T-->X, then P has a unique, explicitly described extension to a conditional expectation between the associated linking algebras. A version of the result for W*-TROs is also presented and some applications mentioned.
Keywords
Cite
@article{arxiv.1209.4575,
title = {Inclusions of ternary rings of operators and conditional expectations},
author = {Pekka Salmi and Adam Skalski},
journal= {arXiv preprint arXiv:1209.4575},
year = {2015}
}
Comments
7 pages, v2/3 introduces a few minor changes. The paper will appear in the Mathematical Proceedings of the Cambridge Philosophical Society