Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772393 | Journal of Functional Analysis | 2017 | 61 Pages |
Abstract
Suppose M is a von Neumann algebra equipped with a faithful normal state Ï and generated by a finite set G=Gâ, |G|â¥2. We show that if G consists of eigenvectors of the modular operator ÎÏ with finite free Fisher information, then the centralizer MÏ is a II1 factor and M is either a type II1 factor or a type IIIλ factor, 0<λâ¤1, depending on the eigenvalues of G. Furthermore, (MÏ)â²â©M=C, MÏ does not have property Î, and M is full provided it is type IIIλ, 0<λ<1.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Brent Nelson,