Work

Solid von Neumann algebras

Year: 2004

Type: article

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.

Source: Acta Mathematica

DOI: 10.1007/bf02441087

Author: Narutaka Ozawa

Institution: The University of Tokyo

Language: German

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Japan Society for the Promotion of Science

OpenAlex ID: W2065062059

FWCI: 8.117

Cites: 14

Cited by: 190

Related to: 10