Yusuke Isono (University of Tokyo): Strong solidity of II_1 factors of free quantum groups
Yusuke Isono from the University of Tokyo will give a talk with title: Strong solidity of II_1 factors of free quantum groups
We generalize Ozawa's bi-exactness to discrete quantum groups and give a new sufficient condition for strong solidity, which implies the absence of Cartan subalgebras. As a corollary, we prove that II_1 factors of free quantum groups are strongly solid. We also consider similar conditions on non-Kac type quantum groups, namely, non finite von Neumann algebras.