Some Results on Matricial Field C-Algebras
Operator Algebras
2022-07-20 v1 Functional Analysis
Abstract
In this paper, we consider Blackadar and Kirchberg's MF algebras. We show that any inner quasidiagonal C-algebra is MF algebra and we generalize Voiculescu's Representation Theorem for a special version of MF algebras. Moreover, we define a weak version of MF algebras namely matrical amenable (AM) algebras, and prove some results related to this new notion. Finally, we consider real C-algebras and we show that a real C-algebra is MF if and only if its complexification is MF.
Keywords
Cite
@article{arxiv.2207.09203,
title = {Some Results on Matricial Field C-Algebras},
author = {Ali Ebadian and Ali Jabbari},
journal= {arXiv preprint arXiv:2207.09203},
year = {2022}
}