What is it about?
We prove a necessary and sufficient condition for embeddability of an operator system into Cuntz algebra. Using Kirchberg’s theorems on a tensor product of Cuntz algebra of order 2 and infinity, we establish results on their operator system counterparts. Applications of the results, including some examples describing -envelopes of operator systems, are also discussed.
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Why is it important?
Contribution to the theory of operator systems.
Perspectives
Embeddability of an operator system into Cuntz algebra is studied. We establish results on the operator system counterparts of Cuntz algebras
Preeti Luthra
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This page is a summary of: EMBEDDINGS AND -ENVELOPES OF EXACT OPERATOR SYSTEMS, Bulletin of the Australian Mathematical Society, May 2017, Cambridge University Press,
DOI: 10.1017/s0004972717000284.
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