Embedding Dimensions of Finite von Neumann Algebras

Details Embedding Dimensions of Finite von Neumann Algebras Embedding Dimensions of Finite von Neumann Algebras

2006-04-06

arxiv.org/abs/math/0604123v1

Mathematics

Operator Algebras

Scientific paper

We introduce "embedding dimensions" of a family of generators of a finite von Neumann algebra when the von Neumann algebra can be faithfully embedded into the ultrapower of the hyperfinite II$_1$ factor. These embedding dimensions are von Neumann algebra invariants, i.e., do not depend on the choices of the generators. We also find values of these invariants for some specific von Neumann algebras.

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