IPM Calendar 
Monday 16 September 2019   Today  
Events for day: Wednesday 08 August 2018    
           12:00 - 13:15     Analysis Seminar
Amenable Actions of Discrete Quantum Groups on von Neumann Algebras


We introduce the notion of Zimmer amenability
for actions of discrete quantum groups on
von Neumann algebras. We prove generalizations of
several fundamental results of the theory in the noncommutative
case. In particular, we give a characterization of Zimmer
amenability of an action $\alpha:{\Bbb G}\curvearrowright N$
in terms of $\hat{\Bbb{G}}$-injectivity of the von Neumann
algebra crossed product $N\ltimes_\alpha\Bbb G$.
As an application we show that the actions of any
discrete quantum group on its Poisson boundaries are always
amenable. ...