Embeddings and $C^*$-envelopes of exact operator systems

Preeti Luthra; Ajay Kumar

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arXiv · 1603.01491

Embeddings and $C^*$-envelopes of exact operator systems

Preeti Luthra·Ajay Kumar

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Abstract

We prove a necessary and sufficient condition for embeddability of an operator system into $\mathcal{O}_2$. Using Kirchberg's theorems on a tensor product of $\mathcal{O}_2$ and $\mathcal{O}_{\infty}$, we establish results on their operator system counterparts $\mathcal{S}_2$ and $\mathcal{S}_{\infty}$. Applications of the results proved, including some examples describing $C^*$-envelopes of operator systems, are also discussed.

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Preeti Luthra, Ajay Kumar. 2016-03-04. Embeddings and $C^*$-envelopes of exact operator systems. https://arxiv.org/abs/1603.01491

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