Characterization of amenability by a factorization property of the group von Neumann algebra

2011/08/15 by Poulin, Denis
#FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1108.3020

Abstract

We show that the amenability of a locally compact group G is equivalent to a factorization property of VN(G) which is given by VN(G) = . This answer partially two problems proposed by Z. Hu and M. Neufang in their article Distinguishing properties of Arens irregularity, Proc. Amer. Math. Soc. 137 (2009), no. 5, 1753-1761.

Related

• An invitation to weak amenability, after Cowling and Haagerup
• A groupoid approach to Lück's amenability conjecture
• A non-uniformly inner amenable group
• Positive definite maps on amenable groups
• Relative amenability