A Modified Version of Free Orbit-Dimension of von Neumann Algebras

Details A Modified Version of Free Orbit-Dimension of von Neumann Algebras A Modified Version of Free Orbit-Dimension of von Neumann Algebras

2008-01-05

arxiv.org/abs/0801.0825v1

Mathematics

Operator Algebras

Scientific paper

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.

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