论文标题
在tsirelson对C*-ergebras成对
On Tsirelson pairs of C*-algebras
论文作者
论文摘要
我们介绍了Tsirelson对的C* - 代数的概念，这是一对C* - 代数，通过在该对的最小张量产品上使用状态获得量子策略的空间，以及该对的最小量子策略空间，以及通过使用该对的最大张力产品的量子量的量子策略所获得的量子策略空间。从最小的张量产物和这对的最大张量产物不是同构的意义上，我们展示了许多“不平淡”对的示例。例如，我们证明包含与Kirchberg QWEP属性的C*-Algebra的任何对都是Tsirelson对。然后，我们介绍了用Tsirelson属性（TP）介绍C*-Algebra的概念，并为此类建立许多封闭属性。我们还表明，带有TP的C*-Algebras类形成一个可公理的类别（从模型理论的意义上），但是该类别没有承认“有效”的公理化。
We introduce the notion of a Tsirelson pair of C*-algebras, which is a pair of C*-algebras for which the space of quantum strategies obtained by using states on the minimal tensor product of the pair and the space of quantum strategies obtained by using states on the maximal tensor product of the pair coincide. We exhibit a number of examples of such pairs that are "nontrivial" in the sense that the minimal tensor product and the maximal tensor product of the pair are not isomorphic. For example, we prove that any pair containing a C*-algebra with Kirchberg's QWEP property is a Tsirelson pair. We then introduce the notion of a C*-algebra with the Tsirelson property (TP) and establish a number of closure properties for this class. We also show that the class of C*-algebras with the TP form an axiomatizable class (in the sense of model theory), but that this class admits no "effective" axiomatization.
