A Note on Amenability of Locally Compact Quantum Groups

Canadian mathematical bulletin

Ami Viselter²  Piotr M. Sołtan¹ 

[1] Department of Mathematical Methods in Physics, Faculty of Physics, University of Warsaw, Poland;Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB T6G 2G1

关键词: amenability;    conditional expectation;    injectivity;    locally compact quantum group;    quantum injectivity;   

DOI  :  10.4153/CMB-2012-032-3

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this short note we introduce a notion called ``quantum injectivity''of locally compact quantum groups, and prove that it is equivalentto amenability of the dual. Particularly, this provides a new characterizationof amenability of locally compact groups.

【 授权许可】

Unknown