论文标题
关于最小张量产品和操作员系统的C*Envelope的注释
A note on the minimal tensor product and the C*-envelope of operator systems
论文作者
论文摘要
在本文中，我们表明，两个操作员系统的最小张量产品的$ c^*$ - 同构是其$ c^*$ - 信封的最小张量产品。我们通过确定两个操作员系统的最小张量产品的Silov边界理想来做到这一点。最后，作为此结果的应用，我们表明操作员系统最小张量产物的传播数是因子的传播数量的最大值。
In this article, we show that the $C^*$-envelope of the minimal tensor product of two operator systems is isomorphic to the minimal tensor product of their $C^*$-envelopes. We do this by identifying the Silov boundary ideal of the minimal tensor product of two operator systems. Finally, as an application of this result, we show that the propagation number of the minimal tensor product of operator systems is the maximum of the propagation numbers of the factors.
