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arXiv · 2604.26104

Unitary representations and von Neumann's continuous geometries

Friedrich Martin Schneider·Andreas Thom
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Abstract

We prove that the unit group of a non-discrete irreducible, continuous ring, in the sense of John von Neumann, does not admit any non-trivial unitary representation continuous with respect to the strong operator topology.

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Friedrich Martin Schneider, Andreas Thom. 2026-04-28. Unitary representations and von Neumann's continuous geometries. https://arxiv.org/abs/2604.26104

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