Solid von Neumann Algebras

2003/02/10 by Narutaka Ozawa, Ozawa, Narutaka
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA) #Primary 46L10 #Secondary 20F67 #math.OA #msc:20F67 #msc:46L10

paper · pdf · doi:10.48550/arxiv.math/0302082

6 pages. Minor Correction

openalex publication_date 2003/02/10 · arxiv created 2003/02/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Applications of Free Entropy to Finite von Neumann Algebras, II

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