论文标题
Christensen-Evans定理和GNS对称量子马尔可夫半群的扩展
Christensen-Evans theorem and extensions of GNS-symmetric quantum Markov semigroups
论文作者
论文摘要
在本说明中，我们证明了Christensen-Evans定理的精致版本，用于统一连续的GNS对称量子Markov Semigroups的发电机。我们使用此结果来显示GNS对称量子马尔可夫半群的GNS对称扩展的存在。特别是，这意味着有限维von Neumann代数的GNS对称量子马尔可夫半群的发电机可以用Alicki定理指定的形式写成。
In this note we prove a refined version of the Christensen-Evans theorem for generators of uniformly continuous GNS-symmetric quantum Markov semigroups. We use this result to show the existence of GNS-symmetric extensions of GNS-symmetric quantum Markov semigroups. In particular, this implies that the generators of GNS-symmetric quantum Markov semigroups on finite-dimensional von Neumann algebra can be written in the form specified by Alicki's theorem.
