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arXiv · 1209.4575

Inclusions of ternary rings of operators and conditional expectations

Pekka Salmi·Adam Skalski
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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.

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Pekka Salmi, Adam Skalski. 2013-04-17. Inclusions of ternary rings of operators and conditional expectations. https://doi.org/10.1017/s030500411300042x

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