Yusuke Isono

activity

20122022

most citedUnique prime factorization and bicentralizer problem for a class of type III factors

54 citations · 114 across the 18 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.DS2019

Ergodic theory of affine isometric actions on Hilbert spaces

Yuki Arano, Yusuke Isono, Amine Marrakchi

The classical Gaussian functor associates to every orthogonal representation of a locally compact group $G$ a probability measure preserving action of $G$ called a Gaussian action.…

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★ 1 cited

$L_{2}$ -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…

Ergodic theory of affine isometric actions on Hilbert spaces

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