A rigid hyperfinite type $\mathrm{II}_1$ factor
Operator Algebras
2020-03-12 v3 Logic
Abstract
We show that it is relatively consistent with ZFC that there exists a hyperfinite type -factor of density character which is not isomorphic to its opposite, does not have any outer automorphisms, and has trivial fundamental group.
Cite
@article{arxiv.1912.12727,
title = {A rigid hyperfinite type $\mathrm{II}_1$ factor},
author = {Ilijas Farah and Ilan Hirshberg},
journal= {arXiv preprint arXiv:1912.12727},
year = {2020}
}
Comments
12 pages. Additional minor changes