Solid von Neumann Algebras
算子代数
2007-05-23 v2
摘要
We prove that the relative commutant of a diffuse von Neumann subalgebra in a hyperbolic group von Neumann algebra is always injective. It follows that any non-injective subfactor in a hyperbolic group von Neumann algebra is non-Gamma and prime. The proof is based on C*-algebra theory.
引用
@article{arxiv.math/0302082,
title = {Solid von Neumann Algebras},
author = {Narutaka Ozawa},
journal= {arXiv preprint arXiv:math/0302082},
year = {2007}
}
备注
6 pages. Minor Correction