A Modified Version of Free Orbit-Dimension of von Neumann Algebras
Operator Algebras
2008-01-08 v1
Abstract
Based on the notion of free orbit-dimension introduced by D. Hadwin and J. Shen [4], we introduce a new invariant on finite von Neumann algebras that do not necessarily act on separable Hilbert space. We show that this invariant is independent on the generating set, and we extend some results in [4] to von Neumann algebras that are not finitely generated.
Keywords
Cite
@article{arxiv.0801.0825,
title = {A Modified Version of Free Orbit-Dimension of von Neumann Algebras},
author = {Don Hadwin and Weihua Li},
journal= {arXiv preprint arXiv:0801.0825},
year = {2008}
}