Extensions of C*-algebas by a small ideal
Operator Algebras
2020-06-02 v1
Abstract
We classify all essential extensions of the form where is the unique separable simple C*-algebra with a unique tracial state, with finite nuclear dimension and with () which satisfies the Universal Coefficient theorem (UCT), and is a separable amenable -embeddable C*-algebra which satisfies the UCT. We actually prove more general results. We also classify a class of amenable \CA s which have only one proper closed ideal
Keywords
Cite
@article{arxiv.2006.00132,
title = {Extensions of C*-algebas by a small ideal},
author = {Huaxin Lin and Ping Wong Ng},
journal= {arXiv preprint arXiv:2006.00132},
year = {2020}
}