A Note On Inner Quasidiagonal C*-Algebras
Abstract
In the paper, we give two new characterizations of separable inner quasidiagonal C*-algebras. Base on these characterizations, we show that a unital full free product of two inner quasidiagonal C*-algebras is inner quasidiagonal again. As an application, we show that a unital full free product of two inner quasidiagoanl C*-algebras with amalgmation over a full matrix algebra is inner quasidiagonal. Meanwhile, we conclude that a unital full free product of two AF algebras with amalgamation over a finite-dimensional C*-algebra is inner quasidiagonal if there are faithful tracial states on each of these two AF algebras such that the restrictions on the common subalgebra agree.
Keywords
Cite
@article{arxiv.1504.04816,
title = {A Note On Inner Quasidiagonal C*-Algebras},
author = {Qihui Li},
journal= {arXiv preprint arXiv:1504.04816},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:0711.4949 by other authors