典型文献
On the Haagerup Property of C-Dynamical Systems
文献摘要：
Let A be a unital C-algebra with a state(τ)and G be a discrete group that acts on A through a T-preserving action α.We first generalize the Haagerup property of dynamical systems by considering states and prove that the dynamical system has the Haagerup property if and only if the reduced crossed product does.Then we introduce the quasi-amenable action of G on A with respect to(τ).Finally,using the above results,we prove that if α is a quasi-amenable action of G on A with respect to(τ),then(A,r)has the Haagerup property if and only if(A(×)α,r G,(τ)')does,where(τ)'is the induced state on A(×)α,r G.As a consequence,our main results improve some well known results in the classical situation.
文献关键词：
中图分类号：
作者姓名：
Changyuan GAO;Qing MENG
作者机构：
School of Mathematical Sciences,Qufu Normal University,Shandong 273165,P.R.China
文献出处：
引用格式：
[1]Changyuan GAO;Qing MENG-.On the Haagerup Property of C-Dynamical Systems)[J].数学研究及应用,2022(06):628-636
A类：
Haagerup
B类：
On,Property,Dynamical,Systems,Let,be,unital,algebra,discrete,group,that,acts,through,preserving,action,We,first,generalize,property,dynamical,systems,by,considering,states,has,if,only,reduced,crossed,product,does,Then,introduce,quasi,amenable,respect,Finally,using,above,results,then,where,induced,consequence,our,main,improve,some,well,known,classical,situation
AB值：
0.51965
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