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arXiv · 2207.09203

Some Results on Matricial Field C-Algebras

Ali Ebadian·Ali Jabbari
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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.

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Ali Ebadian, Ali Jabbari. 2022-07-19. Some Results on Matricial Field C-Algebras. https://arxiv.org/abs/2207.09203

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