Yusuke Isono

collaborators

3 papers

math.OA2019

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…

math.OA2019

$L_{2}$ -cohomology, derivations and quantum Markov semi-groups on $q$ -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…

math.OA2019

Unitary conjugacy for type III subfactors and W $^{*}$ -superrigidity

Yusuke Isono

Let $A, B \subset M$ be inclusions of $σ$ -finite von Neumann algebras such that $A$ and $B$ are images of faithful normal conditional expectations. In this article, we investigate Po…

Tensor product decompositions and rigidity of full factors

L2​-cohomology, derivations and quantum Markov semi-groups on q-Gaussian algebras

Unitary conjugacy for type III subfactors and W∗-superrigidity

$L_{2}$ -cohomology, derivations and quantum Markov semi-groups on $q$ -Gaussian algebras

Unitary conjugacy for type III subfactors and W $^{*}$ -superrigidity