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Similarity degrees for the crossed product of von Neumann algebras
Authors:Jin Song Wu  Wen Ming Wu
Affiliation: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.
Keywords:Similarity degree  von Neumann algebra  weakly compact action  compact action  crossed product
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