We prove that weak amenability of a locally compact group imposes a strong condition on its amenable closed normal subgroups. This extends non- weak amenability results of Haagerup (1988) and Ozawa and Popa (2010). A von Neumann algebra ana-logue is also obtained.
展开▼
机译:我们证明了局部紧凑型群体的弱适应性对其适应性封闭的正常亚群强加了条件。这扩展了Haagerup(1988)和Ozawa and Popa(2010)的非弱适应性结果。还获得了冯·诺依曼代数的类比。
展开▼