Solid von Neumann Algebras

Details Solid von Neumann Algebras Solid von Neumann Algebras

2003-02-10

arxiv.org/abs/math/0302082v2

Mathematics

Operator Algebras

6 pages. Minor Correction

Scientific paper

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.

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