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20112026
most citedAlgebras of bounded noncommutative analytic functions on subvarieties of the noncommutative unit ball

71 citations · 113 across the 14 of their papers we have counts for

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math.OA2026

is flexibly stable in the operator norm

Alexander Lubotzky, Guy Salomon

A cornerstone of stability theory is Voiculescu's 1983 counterexample: he constructed a sequence of pairs of unitary matrices whose commutators converge to zero in the operator nor…

math.OA2018★ 25 cited

Algebras of noncommutative functions on subvarieties of the noncommutative ball: the bounded and completely bounded isomorphism problem

Guy Salomon, Orr Shalit, Eli Shamovich

Given a noncommutative (nc) variety in the nc unit ball , we consider the algebra of bounded nc holomorphic functions on $\m…

math.OA2017

Hyperrigid subsets of Cuntz-Krieger algebras and the property of rigidity at zero

Guy Salomon

A subset generating a -algebra is said to be hyperrigid if for every faithful nondegenerate -representation and a sequence $ϕ_n:B(H) \to…

math.OA2017★ 14 cited

Full Cuntz-Krieger dilations via non-commutative boundaries

Adam Dor-On, Guy Salomon

We apply Arveson's non-commutative boundary theory to dilate every Toeplitz-Cuntz-Krieger family of a directed graph to a full Cuntz-Krieger family for . We do this by descr…

math.OA2017★ 71 cited

Algebras of bounded noncommutative analytic functions on subvarieties of the noncommutative unit ball

Guy Salomon, Orr Shalit, Eli Shamovich

We study algebras of bounded, noncommutative (nc) analytic functions on nc subvarieties of the nc unit ball. Given a nc variety in the nc unit ball ,…

math.OA2014★ 2 cited

The isomorphism problem for complete Pick algebras: a survey

Guy Salomon, Orr Shalit

Complete Pick algebras - these are, roughly, the multiplier algebras in which Pick's interpolation theorem holds true - have been the focus of much research in the last twenty year…