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math.OA2025
Cocycle perturbations and ergodicity for actions on type III factors
Yusuke Isono
We study cocycle perturbations of state preserving actions on type factors. Extending the theorem of Marrakchi and Vaes for type factors, we show t…
math.OA2025
Weak relative Dixmier property and Popa's intertwining technique for type III subfactors
Yusuke Isono
Let \( A \subset M \) be an inclusion of von Neumann algebras equipped with a faithful normal semifinite operator valued weight \( E \colon M \to A \). We prove that every positive…
math.OA2023
Haagerup and Størmer's conjecture for pointwise inner automorphisms
Yusuke Isono
In 1988, Haagerup and Størmer conjectured that any pointwise inner automorphism of a type factor is a composition of an inner and a modular automorphism. We study this…