4 papers · 1 filter
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.…
On the weak relative Dixmier property
Amine Marrakchi
We show that every inclusion of von Neumann algebras with a faithful normal conditional expectation has the weak relative Dixmier property. This answers a question of Popa \cite{Po…
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…
Full factors and co-amenable inclusions
Jon Bannon, Amine Marrakchi, Narutaka Ozawa
We show that if is a full factor and is a co-amenable subfactor with expectation, then is also full. This answers a question of Popa from 1986. We also genera…