A note on the classification of Gamma factors
Operator Algebras
2019-07-22 v1 Logic
Abstract
One of the earliest invariants introduced in the study of finite von Neumann algebras is the property Gamma of Murray and von Neumann. In this note we prove that it is not possible to classify separable factors satisfying the property Gamma up to isomorphism by a Borel measurable assignment of countable structures as invariants. We also show that the same holds true for the full factors.
Keywords
Cite
@article{arxiv.1907.08232,
title = {A note on the classification of Gamma factors},
author = {Román Sasyk},
journal= {arXiv preprint arXiv:1907.08232},
year = {2019}
}
Comments
Old paper from 2015 that appeared in Revista de la Uni\'on Matem\'atica Argentina