论文标题
在$ c^*$ - 代数上将UNITAL完全积极的半群扩展到运算符系统上的半群
The Extension of Unital Completely Positive Semigroups on Operator Systems to Semigroups on $C^*$-algebras
论文作者
论文摘要
对开放量子系统的研究依赖于代表物理系统的$ C^*$ - 代数的Unital完全阳性半群的概念。自然的概括是考虑对操作员系统的Unital完全积极的半群。我们表明，任何连续的Unital完全阳性的宾语系统都可以扩展到有限维$ C^*$ - 代数上的半群，这是宾语系统的注入式信封。如果半群是可逆的，则此扩展是唯一的。
The study of open quantum systems relies on the notion of unital completely positive semigroups on $C^*$-algebras representing physical systems. The natural generalisation would be to consider the unital completely positive semigroups on operator systems. We show that any continuous unital completely positive semigroup on matricial system can be extended to a semigroup on a finite-dimensional $C^*$-algebra, which is an injective envelope of the matricial system. In case the semigroup is invertible, this extension is unique.
