The Haagerup Approximation Property for von Neumann Algebras via Quantum Markov Semigroups and Dirichlet Forms

被引：15
|
作者：
Caspers, Martijn [1 ]
Skalski, Adam [2 ,3 ]
机构：
[1] Univ Munster, Fachbereich Math & Informat, D-48149 Munster, Germany
[2] Polish Acad Sci, Inst Math, PL-00656 Warsaw, Poland
[3] Univ Warsaw, Fac Math Informat & Mech, PL-02097 Warsaw, Poland
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2015年 / 336卷 / 03期
关键词：
SPACES;
D O I：
10.1007/s00220-015-2302-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The Haagerup approximation property for a von Neumann algebra equipped with a faithful normal state. is shown to imply existence of unital, phi-preserving and KMS-symmetric approximating maps. This is used to obtain a characterisation of the Haagerup approximation property via quantum Markov semigroups (extending the tracial case result due to Jolissaint and Martin) and further via quantum Dirichlet forms.
引用
收藏
页码：1637 / 1664
页数：28
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