Similarity Degrees for the Crossed Product of von Neumann Algebras

作     者：Jin Song WU Wen Ming WU 

作者机构：School of Mathematical Sciences University of Science and Technology of China Department of Mathematics Chongqing Normal University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2014年第30卷第5期

页      面：723-736页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by Chinese Universities Scientific Fund(Grant No.WK0010000031) supported by National Natural Science Foundation of China(Grant Nos.11231390,11371222,11301511) 

主　　题：Similarity degree von Neumann algebra weakly compact action compact action crossed product 

摘      要：In this paper, we will estimate an upper bound for the similarity degree of the crossed product of a hyperfinite finite von Neumann algebra by weakly compact action of an infinite discrete group. We will also improve some upper bounds for similarity degrees of some finite von Neumann algebras.