512 citations
- The Ohio State UniversityUS9 papers
- University of CincinnatiUS9 papers
- Centre National de la Recherche ScientifiqueFR8 papers
- University of MiamiUS8 papers
- University of WashingtonUS8 papers
- University of MissouriUS6 papers
- Hebrew University of JerusalemIL5 papers
- Northwestern UniversityUS5 papers
- Rutgers, The State University of New JerseyUS5 papers
- Sorbonne UniversitéFR5 papers
- Central South UniversityCN4 papers
- Imperial College LondonGB4 papers
8 papers · 1 filter
Nuclear dimension and virtually polycyclic groups
Caleb Eckhardt, Jianchao Wu
We show that the nuclear dimension of a (twisted) group C*-algebra of a virtually polycyclic group is finite. This prompts us to make a conjecture relating finite nuclear dimension…
Square functions for noncommutative differentially subordinate martingales
Yong Jiao, Narcisse Randrianantoanina, Lian Wu +1
We prove inequalities involving noncommutative differentially subordinate martingales. More precisely, we prove that if is a self-adjoint noncommutative martingale and is w…
Ulam stability for some classes of C*-algebras
Paul McKenney, Alessandro Vignati
We prove some stability results for certain classes of C*-algebras. We prove that whenever is a finite-dimensional C*-algebra, is a C*-algebra and is appro…
Noncommutative Fractional integrals
Narcisse Randrianantoanina, Lian Wu
Let $\M$ be a hyperfinite finite von Nemann algebra and $(\M_k)_{k\geq 1}$ be an increasing filtration of finite dimensional von Neumann subalgebras of $\M$. We investigate abstrac…
Martingale inequalities in noncommutative symmetric spaces
Narcisse Randrianantoanina, Lian Wu
We provide generalizations of Burkholder's inequalities involving conditioned square functions of martingales to the general context of martingales in noncommutative symmetric spac…
Korovkin-type properties for completely positive maps
Craig Kleski
We prove a noncommutative variant of Saskin's classical theorem -- on the connection between Choquet boundaries for function spaces and Korovkin sets -- for operator systems genera…