5 papers · 1 filter
Note on bi-exactness for creation operators on Fock spaces
Kei Hasegawa, Yusuke Isono, Tomohiro Kanda
In this note, we introduce and study a notion of bi-exactness for creation operators acting on full, symmetric and anti-symmetric Fock spaces. This is a generalization of our previ…
Connes' bicentralizer problem for q-deformed Araki-Woods algebras
Cyril Houdayer, Yusuke Isono
Let be any strongly continuous orthogonal representation of on a real (separable) Hilbert space . For any , we den…
Tensor product decompositions and rigidity of full factors
Yusuke Isono, Amine Marrakchi
We obtain several rigidity results regarding tensor product decompositions of factors. First, we show that any full factor with separable predual has at most countably many tensor…
-cohomology, derivations and quantum Markov semi-groups on -Gaussian algebras
Martijn Caspers, Yusuke Isono, Mateusz Wasilewski
We study (quasi-)cohomological properties through an analysis of quantum Markov semi-groups. We construct higher order Hochschild cocycles using gradient forms associated with a qu…
Unitary conjugacy for type III subfactors and W-superrigidity
Yusuke Isono
Let be inclusions of -finite von Neumann algebras such that and are images of faithful normal conditional expectations. In this article, we investigate Po…