On bi-exactness of discrete quantum groups

Abstract

We define Ozawa's notion of bi-exactness to discrete quantum groups, and then prove some structural properties of associated von Neumann algebras. In particular, we prove that any non amenable subfactor of free quantum group von Neumann algebras, which is an image of a faithful normal conditional expectation, has no Cartan subalgebras.

23 pages

References in corpus (3)

• CCAP for universal discrete quantum groups
• Orientation of quantum Cayley trees and applications
• Amalgamated free product type III factors with at most one Cartan subalgebra

Cited by in corpus (1)

• CCAP for universal discrete quantum groups