论文标题
分解的弱期望
Decomposable Weak Expectations
论文作者
论文摘要
在本文中，我们定义了一类特殊的弱期望，用于表示可分离的Unital c* - 代数，称为可分解的弱期望。我们为给定表示形式提供了必要和足够的条件，以使这种弱期望存在。然后，我们在c* - 代数的状态空间上定义了可分解的措施，并表明，当且仅当在状态空间上有可分解的措施时，状态的GNS表示就可以承认可分解的弱期望。此外，我们举例说明了可分解的弱期望。
In this article we define a special class of weak expectations for a representation of a separable unital C*-algebra, called decomposable weak expectation. We give necessary and sufficient conditions for such kind of weak expectations to exist for a given representation. Then we define decomposable measures on the state space of a C*-algebra and show that the GNS representation of a state admits a decomposable weak expectation if and only if there is a decomposable measure on the state space. Further we give an example of a decomposable weak expectation.
