Deformations of wreath products
Deformations of wreath products
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花环产品变形
DOI：
10.1112/blms.12008
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发表时间：
2016
影响因子：
0.9
通讯作者：
Andrew Schneider
中科院分区：
文献类型：
--
作者：
M. Dadarlat;U. Pennig;Andrew Schneider
连通性是可分C-代数A的同伦不变性质，它有三个重要的结果：不存在非平凡投影，拟对角性和实现卡斯帕罗夫群KK（A，B）为从A到B的渐近态射的同伦类<$K，如果A是核的。在这里，我们给出了可分正合C*-代数连通性的一个新刻画，并利用这个刻画证明了增广理想为连通的离散可数顺从群类在广义圈积下是闭的。在相关的思想圈中，我们给出了与非交换伯努利作用相关的约化交叉积C*-代数的拟对角性的结果。
Connectivity is a homotopy invariant property of a separable C∗ ‐algebra A , which has three important consequences: absence of nontrivial projections, quasidiagonality and realization of the Kasparov group KK(A,B) as homotopy classes of asymptotic morphisms from A to B⊗K if A is nuclear. Here we give a new characterization of connectivity for separable exact C*‐algebras and use this characterization to show that the class of discrete countable amenable groups whose augmentation ideals are connective is closed under generalized wreath products. In a related circle of ideas, we give a result on quasidiagonality of reduced crossed‐product C*‐algebras associated to noncommutative Bernoulli actions.
核 C* 代数的拟对角性
DOI：
10.4007/annals.2017.185.1.4
发表时间：
2017
期刊：
arXiv: Operator Algebras
影响因子：
--
作者：
A. Tikuisis;S. White;W. Winter
通讯作者：
W. Winter