Maximal amenability with asymptotic orthogonality in amalgamated free products

Maximal amenability with asymptotic orthogonality in amalgamated free products
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合并自由乘积中具有渐近正交性的最大顺应性

DOI:
10.7900/jot.2019dec20.2261
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发表时间:
2019
影响因子:
0.8
通讯作者:
Brianna Leary
Brianna Leary
中科院分区:
数学2区
文献类型:
--
作者:
Brianna Leary

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研究了利用Popa的渐近正交性来建立合并自由积von Neumann代数的极大顺从性。虽然新的技术最近被开发出来,考虑合并的自由产品,我们发现,波帕在20世纪80年代开发的技术可以用来证明最大的顺从性,为一定的家庭合并的自由产品冯诺依曼代数。
We investigate the use of Popa's asymptotic orthogonality to establish maximal amenability for amalgamated free product von Neumann algebras. Although new techniques have recently been developed to consider amalgamated free products, we find that the technique developed by Popa in the 1980s can be used to demonstrate maximal amenability for a certain family of amalgamated free product von Neumann algebras.