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arXiv · 2510.23864

On ergodicity of linear actions on $\mathbb{R}^n$ and factoriality of group von Neumann algebras

Soham Chakraborty·Chinmay Tamhankar
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Abstract

We give some natural conditions on actions of discrete countable groups on abelian locally compact groups of Lie type that imply factoriality of the group von Neumann algebras of their semidirect products. This allows us to give a fairly large class of examples of locally compact groups whose group von Neumann algebras are factors.

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Soham Chakraborty, Chinmay Tamhankar. 2025-10-27. On ergodicity of linear actions on $\mathbb{R}^n$ and factoriality of group von Neumann algebras. https://arxiv.org/abs/2510.23864

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