We show that if A is a (not necessarily unital) separable, simple and non-type I C*-algebra, then for every properly infinite hyperfinite von Neumann algebra M with separable predual, its Ocneanu central sequence algebra M' boolean AND M-omega arises as a sub-quotient of the central sequence algebra F(A) defined by the second-named author. In particular, this answers affirmatively the question of Kirchberg ['Central sequences in C*-algebras and strongly purely infinite algebras', Operator algebras: the Abel Symposium 2004, Proceedings of the First Abel Symposium, Oslo, 3-5 September 2004 (eds O. Bratteli, S. Neshveyev and C. Skau; Springer, Berlin, Heidelberg, 2006), X, 279, 175-231]: the central sequence C*-algebra of the reduced free group C*-algebra C-red*(F-2) is non-commutative.
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机译:我们证明如果A是一个(不一定是单位的)可分离的,简单的和非类型的IC *代数,则对于每个具有可分离的前置的适当无限的超新冯·诺伊曼代数M,其Ocneanu中心序列代数M'boolean AND M-omega作为第二位作者定义的中心序列代数F(A)的子商出现。特别是,这肯定地回答了Kirchberg问题['C *-代数和强纯无限代数中的中心序列',算子代数:2004 Abel研讨会,第一届Abel研讨会论文集,奥斯陆,2004年9月3-5日(eds O. Bratteli,S。Neshveyev和C. Skau; Springer,柏林,海德堡,2006年),X,279,175-231]:还原自由群C *-代数C-red *的中心序列C *-代数(F-2)是不可交换的。
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