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Preprint

A counterexample to Haagerup's problem on subadditive weights

Ikhan Choi Sunghyeon Jo
Aug 2026 · 1 citation · ⚡ 1 influential · 2 references
Mathematics

Abstract

We construct a subadditive weight on the type I$_\infty$ factor that preserves directed suprema but is not $\sigma$-weakly lower semi-continuous. This provides a counterexample to Haagerup's first problem posed in 1975.

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