A Note on Amenability of Locally Compact Quantum Groups

被引：9

作者：

Soltan, Piotr M. ^{[1
]}

Viselter, Ami ^{[2
]}

机构：

[1] Univ Warsaw, Dept Math Methods Phys, Fac Phys, PL-00325 Warsaw, Poland

[2] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2014年 / 57卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

amenability; conditional expectation; injectivity; locally compact quantum group; quantum injectivity; ALGEBRAS;

D O I：

10.4153/CMB-2012-032-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this short note we introduce a notion called quantum infectivity of locally compact quantum groups, and prove that it is equivalent to amenability of the dual. In particular, this provides a new characterization of amenability of locally compact groups.

引用

页码：424 / 430

页数：7

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