An Index for Inclusions of Operator Systems
Operator Algebras
2022-04-29 v2 Functional Analysis
Abstract
Inspired by a well-known characterization of the index of an inclusion of II 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.
Keywords
Cite
@article{arxiv.2203.05710,
title = {An Index for Inclusions of Operator Systems},
author = {Roy Araiza and Colton Griffin and Thomas Sinclair},
journal= {arXiv preprint arXiv:2203.05710},
year = {2022}
}
Comments
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