45 citations · 184 across the 24 of their papers we have counts for
5 papers · 1 filter
Property (T), property (F) and residual finiteness for discrete quantum groups
Angshuman Bhattacharya, Michael Brannan, Alexandru Chirvasitu +1
We investigate connections between various rigidity and softness properties for discrete quantum groups. After introducing a notion of residual finiteness, we show that it implies…
On the similarity problem for locally compact quantum groups
Michael Brannan, Sang-Gyun Youn
A well-known theorem of Day and Dixmier states that any uniformly bounded representation of an amenable locally compact group on a Hilbert space is similar to a unitary represe…
Quantum groups, property (T), and weak mixing
Michael Brannan, David Kerr
For second countable discrete quantum groups, and more generally second countable locally compact quantum groups with trivial scaling group, we show that property (T) is equivalent…
Orthogonal free quantum group factors are strongly 1-bounded
Michael Brannan, Roland Vergnioux
We prove that the orthogonal free quantum group factors are strongly -bounded in the sense of Jung. In particular, they are not isomorphic to free g…
Complete metric approximation property for -Araki-Woods algebras
Stephen Avsec, Michael Brannan, Mateusz Wasilewski
By adapting an ultraproduct technique of Junge and Zeng, we prove that radial completely bounded multipliers on -Gaussian algebras transfer to -Araki-Woods algebras. As a con…