A simple AF algebra not isomorphic to its opposite
Operator Algebras
2022-06-08 v2 Logic
Abstract
We show that it is consistent with ZFC that there is a simple nuclear non-separable C*-algebra which is not isomorphic to its opposite algebra. We can furthermore guarantee that this example is an inductive limit of unital copies of the Cuntz algebra O_2, or of the CAR algebra.
Keywords
Cite
@article{arxiv.1612.01170,
title = {A simple AF algebra not isomorphic to its opposite},
author = {Ilijas Farah and Ilan Hirshberg},
journal= {arXiv preprint arXiv:1612.01170},
year = {2022}
}
Comments
13 pages. To appear in PNAS