1. School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, P. R. China 2. Department of Mathematics, Chongqing Normal University, Chongqing, 401331, P. R. China
Abstract:
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.