OPERATOR APPROXIMATE BIPROJECTIVITY OF LOCALLY COMPACT QUANTUM GROUPS

被引：0

作者：

Ghanei, Mohammad Reza ^{[1
,2
]}

Nemati, Mehdi ^{[3
]}

机构：

[1] Khansar Fac Math & Comp Sci, Dept Math, Khansar, Iran

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

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

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2018年 / 9卷 / 04期

关键词：

locally compact quantum group; operator approximate biprojectivity; tensor product of compact quantum groups; VON-NEUMANN-ALGEBRAS; AMENABILITY;

D O I：

10.1215/20088752-2017-0065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We initiate a study of operator approximate biprojectivity for quantum group algebra L-1(G), where C is a locally compact quantum group. We show that if L-1(C) is operator approximately biprojective, then C is compact. We prove that if C is a compact quantum group and H is a non-Kac-type compact quantum group such that both L-1(G) and L-1(H) are operator approximately biprojective, then L-1(G) (circle times) over cap L-1(H) is operator approximately biprojective, but not operator biprojective.

引用

页码：514 / 524

页数：11