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Paper detail

Some Results on Matricial Field C-Algebras

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.

preprint2022arXivOpen access
Ali EbadianAli Jabbari
math.OAmath.FA
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Ali EbadianAli Jabbari

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