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

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

2011-08-15

arxiv.org/abs/1108.3020v1

Mathematics

Operator Algebras

Scientific paper

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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