Non-amenable tight squeezes by Kirchberg algebras
Operator Algebras
2022-02-17 v3 Dynamical Systems
Abstract
We give a framework to produce C*-algebra inclusions with extreme properties. This gives the first constructive nuclear minimal ambient C*-algebras. We further obtain a purely infinite analogue of Dadarlat's modeling theorem on AF-algebras: Every Kirchberg algebra is rigidly and KK-equivalently sandwiched by non-nuclear C*-algebras without intermediate C*-algebras. Finally we reveal a novel property of Kirchberg algebras: They embed into arbitrarily wild C*-algebras as rigid maximal C*-subalgebras.
Keywords
Cite
@article{arxiv.1908.02971,
title = {Non-amenable tight squeezes by Kirchberg algebras},
author = {Yuhei Suzuki},
journal= {arXiv preprint arXiv:1908.02971},
year = {2022}
}
Comments
21 pages, minor revision of v2, to appear in Mathematische Annalen