通过量子马尔可夫半群和狄利克雷形式的冯·诺依曼代数的Haagerup逼近性质
算子代数
2015-06-19 v3
摘要
对于配备忠实正规态的冯·诺依曼代数，Haagerup逼近性质被证明蕴含存在单位、保持且KMS对称的逼近映射。这用于通过量子马尔可夫半群（推广了Jolissaint和Martin的迹情形结果）以及进一步通过量子狄利克雷形式获得Haagerup逼近性质的刻画。
引用
@article{arxiv.1404.6214,
title = {The Haagerup approximation property for von Neumann algebras via quantum Markov semigroups and Dirichlet forms},
author = {Martijn Caspers and Adam Skalski},
journal= {arXiv preprint arXiv:1404.6214},
year = {2015}
}
备注
26 pages; v3 adds Corollary 5.8, corrects a mistake in Section 3 and updates references; all the main results remain unchanged. The article will appear in the Communications in Mathematical Physics