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arXiv · 1108.3020

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

Denis Poulin
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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 \textit{Distinguishing properties of Arens irregularity}, Proc. Amer. Math. Soc. 137 (2009), no. 5, 1753-1761.

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Denis Poulin. 2011-08-15. Characterization of amenability by a factorization property of the group von Neumann algebra. https://arxiv.org/abs/1108.3020

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