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math.OA2019
Actions, quotients and lattices of locally compact quantum groups
Michael Brannan, Alexandru Chirvasitu, Ami Viselter
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 ver…
math.OA2019
Property RD and hypercontractivity for orthogonal free quantum groups
Michael Brannan, Roland Vergnioux, Sang-Gyun Youn
We prove that the twisted property RD fails to hold for all non Kac type, non amenable orthogonal free quantum groups. In the Kac case we revisit property RD, proving an analogue o…