3 papers
math.OA2026
Amenable traces and the joint numerical radius
Vern I. Paulsen, Mizanur Rahaman, Ebrahim Samei
We provide necessary and sufficient characterizations of the existence of an amenable trace on a C-algebra in terms of the joint free numerical radius of tuples of unitaries, i…
math.OA2025
Exactness and LLP Results via Operator System Methods
Kenneth R. Davidson, Vern I. Paulsen, Mizanur Rahaman
In this paper, we employ operator system techniques to investigate structural properties of C*-algebras. In particular, we provide more direct proofs of results concerning exactnes…
quant-ph2025
Unique Games and Games Based on Groups
Rupert H. Levene, Vern I. Paulsen
We study unique games and estimate some of their values. We prove that if a unique game has a quantum-assisted value close to 1, then it must have a perfect deterministic strategy.…