Unitary representations and von Neumann's continuous geometries.
basic_science · Level V
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- Record sourced from PubMed, PMID 42599783.
- Also identified by DOI 10.1073/pnas.2615658123.
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Abstract
We prove that the unit group of a nondiscrete irreducible, continuous ring, in the sense of John von Neumann, does not admit any nontrivial unitary representation continuous with respect to the strong operator topology.