On finite free Fisher information for eigenvectors of a modular operator

2016/04/13 by Nelson, Brent · 2 citations
#46L54 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1604.03900

Abstract

Suppose M is a von Neumann algebra equipped with a faithful normal state φ and generated by a finite set G=G^*, |G|≥ 2. We show that if G consists of eigenvectors of the modular operator Δ_φ with finite free Fisher information, then the centralizer M^φ is a II₁ factor and M is either a type II₁ factor or a type III_λ factor, 0

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