Friday 26 April 2024 |
Events for day: Wednesday 01 August 2018 |
12:00 - 13:15 Analysis Seminar Quantum version of Lau-Paterson's result on amenable unitary co-representations School MATHEMATICS In the talk, we initiate an investigation of stable states with respect to unitary co-representations $U$ of locally compact quantum groups ${\Bbb G}$ on Hilbert spaces $H$; in particular, we study the subject on the multiplicative unitary operator $W_{\Bbb G}$ of ${\Bbb G}$ with some examples on locally compact quantum groups arising from discrete groups and compact groups. As the main result, we consider the one co-dimensional Hilbert subspace of $H$ associated to a suitable vector $\eta$, to present an operator theoretic characterization of stable states with respect to a related unitary co- ... |