Embedding $\mathrm{C}^*$-algebras into the Calkin algebra
Logic
2019-02-26 v3 Operator Algebras
Abstract
Every -algebra, regardless of its density character, can be embedded into the Calkin algebra in a forcing extension of the universe obtained without collapsing any cardinal.
Cite
@article{arxiv.1810.00255,
title = {Embedding $\mathrm{C}^*$-algebras into the Calkin algebra},
author = {Ilijas Farah and Georgios Katsimpas and Andrea Vaccaro},
journal= {arXiv preprint arXiv:1810.00255},
year = {2019}
}
Comments
31 page. To appear in IMRN. Minor changes, extended `Concluding remarks' section