July 14, 2024Open Access

Ternary rings of operators and their linking von Neumann algebras

LWLiguang WangQufu Normal University NWNgai‐Ching WongNational Sun Yat-sen University

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Abstract

In this short note, we show that a von Neumann algebra can be written as the linking von Neumann algebra of a W^-ternary ring of operators (W^-TRO, in short), if and only if, it contains no abelian direct summand. We also provide some new characterizations for nuclear TROs and W^-exact TROs.

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Wang et al. (Sun,) studied this question.

synapsesocial.com/papers/68e60662b6db643587599d58 https://doi.org/https://doi.org/10.48550/arxiv.2407.10154

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