Property T and strong property T for unital*-homomorphisms  

作　　者：Qing MENG 

机构地区：[1]School of Mathematical Sciences,Qufu Normal University,Qufu 273165,China

出　　处：《Frontiers of Mathematics in China》2020年第2期385-398,共14页中国高等学校学术文摘·数学（英文）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11871303,11701327);the China Postdoctoral Science Foundation(No.2018M642633);the Natural Science Foundation of Shandong Province(No.ZR2019MA039);the Shandong Province Higher Educational Science and Technology Program(No.J18KA238).

摘　　要：We introduce and study property T and strong property T for unital*-homomorphisms between two unital C^*-algebras.We also consider the relations between property T and invariant subspaces for some canonical unital^-representations.As a corollary,we show that when G is a discrete group,G is finite if and only if G is amenable and the inclusion map i:Cr^*(G)→B(l^2(G))has property T.We also give some new equivalent forms of property T for countable discrete groups and strong property T for unital C^*-algebras.

关 键 词：Unital*-homomorphism unital C^*-algebra *-bimodule property T strong property T 

分 类 号：O17[理学—数学]