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

19 papers

math.OA2022★ 1 cited

Pointwise inner automorphisms of almost periodic factors

Cyril Houdayer, Yusuke Isono

We prove that a large class of nonamenable almost periodic type factors , including all McDuff factors that tensorially absorb and all free Araki-Woods…

math.OA2021

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…

math.DS2020★ 3 cited

Boundary and rigidity of nonsingular Bernoulli actions

Kei Hasegawa, Yusuke Isono, Tomohiro Kanda

Let be a countable discrete group and consider a nonsingular Bernoulli shift action with two base points. When is exa…

math.OA2020★ 5 cited

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…

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 a probability measure preserving action of 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…