IPM Calendar 
Tuesday 23 April 2019   Today  
Events for day: Wednesday 21 November 2018    
           12:00 - 13:15     Analysis Seminar
Function Spaces on Locally Compact Quantum Groups

School
MATHEMATICS

In this talk we review preliminiars of locally compact quantum groups from harmonic analysis prespective. Then we define function spaces $ap(L^1(mathbb{G}))$, $wap(L^1(mathbb{G}))$ and $luc(L^1(mathbb{G}))$ on locally compact quantum group $mathbb{G}$ and characterize them in the language of locally compact quantum groups. Classically, $ap(G)$, $wap(G)$ and $luc(G)$ are $m-$admissible $C^*-$algebra. We also attempt to find conditions that force these function spaces to be $C^*-$algebra. In this direction, we characterize the biggest $C^*-$algebra inside $wap(L^1(mathbb{G}))$ and find a mild condition with which $luc(L^1(mathbb{G}))$ is a $C^ ...