Friday 29 March 2024 |
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^ ... |