论文标题
矩阵c-elgebras的一些结果
Some Results on Matricial Field C-Algebras
论文作者
论文摘要
在本文中，我们考虑了Blackadar和Kirchberg的MF代数。我们表明，任何内部的quasidiagonal c-algebra都是MF代数，我们将voiculescu的代表定理概括为MF代数的特殊版本。此外，我们定义了MF代数的弱版本，即矩阵amenable（AM）代数，并证明了与此新概念有关的一些结果。最后，我们考虑了实际的C-Elgebras，并且只有当它的络合率为MF时，实际的C-Algebra是MF。
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.
