Characterization of amenability by a factorization property of the group von Neumann algebra
Operator Algebras
2011-08-16 v1 Functional Analysis
Abstract
We show that the amenability of a locally compact group is equivalent to a factorization property of which is given by . This answer partially two problems proposed by Z. Hu and M. Neufang in their article \textit{Distinguishing properties of Arens irregularity}, Proc. Amer. Math. Soc. 137 (2009), no. 5, 1753-1761.
Keywords
Cite
@article{arxiv.1108.3020,
title = {Characterization of amenability by a factorization property of the group von Neumann algebra},
author = {Denis Poulin},
journal= {arXiv preprint arXiv:1108.3020},
year = {2011}
}