Voiculescu amenable Hopf von Neumann algebras with applications

被引：2

作者：

Akhtari, Fatemeh ^{[1
]}

Nasr-Isfahani, Rasoul ^{[1
,2
]}

机构：

[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2016年 / 15卷 / 06期

关键词：

Additively uniformly continuous; Hopf von Neumann algebra; left fixed point; locally compact group; right module; Voiculescu amenability; COMPACT QUANTUM GROUPS; BICROSSED PRODUCT CONSTRUCTION; KAC ALGEBRAS; CO-AMENABILITY;

D O I：

10.1142/S0219498816500791

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a Hopf von Neumann algebra (M, Gamma), we give a fixed point characterization of Voiculescu amenability of (M, Gamma) in terms of modules over M-*. As a consequence, we present some descriptions for amenability of locally compact groups in terms of certain associated Hopf von Neumann algebras. We finally apply this result to some modules of continuous functions on a multiplicative subsemigroup of M-*.

引用

页数：12

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