An Index for Inclusions of Operator Systems
| Autor: | Araiza, Roy, Griffin, Colton, Sinclair, Thomas |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | Inspired by a well-known characterization of the index of an inclusion of II$_1$ factors due to Pimsner and Popa, we define an index-type invariant for inclusions of operator systems. We compute examples of this invariant, show that it is multiplicative under minimal tensor products, and explain how it generalizes the quantum Lov\'asz theta invariant for a matricial system defined by Duan, Severini, and Winter. Comment: Comments to the authors are welcome. V2: Structural change of Section 4. The CP-index coinciding with quantum Lovasz theta for matricial systems has been left as an open question |
| Databáze: | arXiv |
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