Property T^(**) for C~*-algebras
Property T^(**) for C~* -algebras作者机构:Chern Institute of MathematicsNankai University
出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))
年 卷 期:2012年第28卷第9期
页 面:1845-1850页
核心收录:
学科分类:12[管理学] 02[经济学] 0202[经济学-应用经济学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 020205[经济学-产业经济学] 07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题:Property T** C*-algebras Hilbert bimodules
摘 要:Extending the notion of property T of finite von Neumann algebras to general yon Neu- mann algebras, we define and study in this paper property T** for (possibly non-unital) C*-algebras. We obtain several results of property T** parallel to those of property T for unital C*-algebras. Moreover, we show that a discrete group F has property T if and only if the group C*-algebra C*(F) (or equivalently, the reduced group C*-algebra C*(F)) has property T**. We also show that the compact operators K(g2) has property T** but co does not have property T**.