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Convolution semigroups on Rieffel deformations of locally compact quantum groups Open
Consider a locally compact quantum group $\mathbb{G}$ with a closed classical abelian subgroup $Γ$ equipped with a $2$-cocycle $Ψ:\hatΓ\times\hatΓ\to\mathbb{C}$. We study in detail the associated Rieffel deformation $\mathbb{G}^Ψ$ and esta…
Actions, Quotients and Lattices of Locally Compact Quantum Groups Open
We prove a number of property (T) permanence results for locally compact quantum groups under exact sequences and the presence of invariant states, analogous to their classical versions. Along the way we characterize the existence of invar…
Actions, quotients and lattices of locally compact quantum groups Open
We prove a number of property (T) permanence results for locally compact quantum groups under exact sequences and the presence of invariant states, analogous to their classical versions. Along the way we characterize the existence of invar…
Around Property (T) for Quantum Groups Open
We study Property (T) for locally compact quantum groups, providing several\nnew characterisations, especially related to operator algebraic ergodic theory.\nQuantum Property (T) is described in terms of the existence of various Kazhdan\nt…
Amenability of locally compact quantum groups and their unitary co-representations Open
We prove that amenability of a unitary co-representation $U$ of a locally compact quantum group passes to unitary co-representations that weakly contain $U$. This generalizes a result of Bekka, and answers affirmatively a question of B\'ed…