节点文献
A modified version of free orbit-dimension of von Neumann algebras
【摘要】 Based on the notion of free orbit-dimension of Hadwin-Shen (2007) we introduce a new invariant for finite von Neumann algebras with arbitrarily large generating sets and acting on Hilbert spaces of arbitrary dimension. We show that this invariant is independent of the generating set, and we extend results in Hadwin-Shen (2007) to this larger class of algebras.
【Abstract】 Based on the notion of free orbit-dimension of Hadwin-Shen (2007) we introduce a new invariant for finite von Neumann algebras with arbitrarily large generating sets and acting on Hilbert spaces of arbitrary dimension. We show that this invariant is independent of the generating set, and we extend results in Hadwin-Shen (2007) to this larger class of algebras.
- 【文献出处】 Science China(Mathematics) ,中国科学:数学(英文版) , 编辑部邮箱 ,2011年11期
- 【分类号】O153
- 【下载频次】12