Minimal ambient nuclear C*-algebras
Operator Algebras
2016-09-20 v2 Dynamical Systems
Group Theory
Abstract
We provide examples of ambient nuclear C*-algebras of non-nuclear C*-algebras with no proper intermediate C*-algebras. In particular this gives the first examples of minimal ambient nuclear C*-algebras of non-nuclear C*-algebras. For this purpose, we study generic Cantor systems of infinite free product groups.
Keywords
Cite
@article{arxiv.1510.05592,
title = {Minimal ambient nuclear C*-algebras},
author = {Yuhei Suzuki},
journal= {arXiv preprint arXiv:1510.05592},
year = {2016}
}
Comments
10 pages, minor modifications, Proposition 4.1 now holds for all C*-algebras, added some references