6 citations · 11 across the 8 of their papers we have counts for
9 papers
ICC property (T) groups without W-superrigidity
Shuoxing Zhou
We construct two explicit countable discrete groups and that are both ICC and have Kazhdan's property (T). Although and are not isomorphic as groups, their…
On invariant subalgebras of noncommutative Poisson boundaries for higher rank lattices
Shuoxing Zhou
Let be a real connected semisimple Lie group with trivial center, no non-trivial compact factors, and all simple factors of real rank at least two. Let be an irreducible…
Non-commutative Factor theorem for tensor products of lattices in product groups
Tattwamasi Amrutam, Yongle Jiang, Shuoxing Zhou
We establish a non-commutative version of the Intermediate Factor Theorem for crossed products associated with product lattices. Given an irreducible lattice $Γ< G= G_1 \times \dot…
Non-commutative Intermediate Factor theorem associated with -dynamics of product groups
Tattwamasi Amrutam, Yongle Jiang, Shuoxing Zhou
Let be a product of two locally compact, second countable groups and be of the form , where $μ_{i} \in \math…
Rigidity of Furstenberg entropy under ucp maps
Shuoxing Zhou
Given a tracial von Neumann algebra , we prove that a state preserving -bimodular ucp map between two stationary W-extensions of preserves the Furstenberg ent…
Finite-temperature quantum topological order in three dimensions
Shu-Tong Zhou, Meng Cheng, Tibor Rakovszky +2
We identify a three-dimensional system that exhibits long-range entanglement at sufficiently small but nonzero temperature--it therefore constitutes a quantum topological order at…
Noncommutative topological boundaries and amenable invariant random intermediate subalgebras
Shuoxing Zhou
As an analogue of the topological boundary of discrete groups , we define the noncommutative topological boundary of tracial von Neumann algebras and apply it to genera…
Hypertrace and entropy gap characterizations of property (T) for factors
Shuoxing Zhou
We establish a hypertrace characterization of property (T) for factors: Given a factors , does not have property (T) if and only if there exi…
Noncommutative Poisson boundaries, ultraproducts and entropy
Shuoxing Zhou
We construct the noncommutative Poisson boundaries of tracial von Neumann algebras through the ultraproducts of von Neumann algebras. As an application of this result, we complete…