论文标题
操作员系统包含的索引
An Index for Inclusions of Operator Systems
论文作者
论文摘要
受Pimsner和Popa引起的II $ _1 $因子的索引的众所周知的启发，我们为操作员系统的包含量定义了索引型不变。我们计算了这种不变的示例，表明它在最小张量产物下具有乘法性，并解释了它如何概括为Duan，Severini和Winter定义的母系系统的量子LovászTheta不变性。
Inspired by a well-known characterization of the index of an inclusion of II$_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 Lovász theta invariant for a matricial system defined by Duan, Severini, and Winter.
