21 citations · 75 across the 15 of their papers we have counts for
16 papers
Classical actions of quantum permutation groups
Amaury Freslon, Frank Taipe, Simeng Wang
We describe explicitly all actions of the quantum permutation groups on classical compact spaces. In particular, we show that the defining action is the only non-trivial ergodic on…
Noncommutative maximal ergodic inequalities for amenable groups
Léonard Cadilhac, Simeng Wang
We prove a pointwise ergodic theorem and a maximal inequality for actions of amenable groups on noncommutative measure spaces. To do so, we establish a square function estimate qua…
On the factoriality of q-deformed Araki-Woods von Neumann algebras
Panchugopal Bikram, Kunal Mukherjee, Éric Ricard +1
The -deformed Araki-Woods von Neumann algebras are factors for all whenever .…
Tannaka-Krein reconstruction and ergodic actions of easy quantum groups
Amaury Freslon, Frank Taipe, Simeng Wang
We give a new alternative version of the reconstruction procedure for ergodic actions of compact quantum groups and we refine it to include characterizations of (braided commutativ…
Cutoff profiles for quantum Lévy processes and quantum random transpositions
Amaury Freslon, Lucas Teyssier, Simeng Wang
We consider a natural analogue of Brownian motion on free orthogonal quantum groups and prove that it exhibits a cutoff at time . Then, we study the induced classical proc…
Ke Li's lemma for quantum hypothesis testing in general von Neumann algebras
Yan Pautrat, Simeng Wang
A lemma stated by Ke Li in [arXiv:1208.1400] has been used in e.g. [arXiv:1510.04682,arXiv:1706.04590,arXiv:1612.01464,arXiv:1308.6503,arXiv:1602.08898] for various tasks in quantu…