6 citations · 18 across the 11 of their papers we have counts for
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A note on the invariant subspace problem relative to a type factor
Junsheng Fang, Don Hadwin
Let $\M$ be a type factor with a faithful normal tracial state and let $\M^ω$ be the ultrapower algebra of $\M$. In this paper, we prove that for every operator $T…
Some Examples of Blackadar and Kirchberg's MF Algebras
Don Hadwin, Junhao Shen
In the paper, we provide some examples of MF algebras by considering minimal or maximal tensor products of MF algebras and crossed products of MF algebras by finite groups or an in…
A Note on Approximate Liftings
Don Hadwin, Weihua Li
In this paper, we prove approximate lifting results in the C-algebra and von Neumann algebra settings. In the C-algebra setting, we show that two (weakly) semipro…
An Elementary Proof of the Free-additivity of Voiculescu's Free Entropy
Don Hadwin, Weihua Li, Junhao Shen
D. Voiculescu [2] proved that a standard family of independent random unitary k by k matrices and a constant k by k unitary matrix is asymtotically free as k goes to infinity. This…
Topological Free Entropy Dimensions in Nuclear C-algebras and in Full Free Products of C-algebras
Don Hadwin, Qihui Li, Junhao Shen
In the paper, we introduce a new concept of topological orbit dimension of -tuples of elements in a unital C algebra. Using this concept, we conclude that the Voiculescu's t…
A Modified Version of Free Orbit-Dimension of von Neumann Algebras
Don Hadwin, Weihua Li
Based on the notion of free orbit-dimension introduced by D. Hadwin and J. Shen [4], we introduce a new invariant on finite von Neumann algebras that do not necessarily act on sepa…