7 citations · 12 across the 8 of their papers we have counts for
9 papers
Amenability, tubularity, and embeddings into
Kenley Jung
Suppose is a tracial von Neumann algebra embeddable into (the ultraproduct of the hyperfinite -factor) and is an -tuple of selfadjoint generators fo…
The Microstates Free Entropy Dimension of any DT--operator is 2
Ken Dykema, Kenley Jung, Dimitri Shlyakhtenko
Suppose that μis an arbitrary Borel measure on the complex plane with compact support and take c > 0. If Z is a DT(μ,c)-operator as defined by Dykema and Haagerup, then the microst…
Some free entropy dimension inequalities for subfactors
Kenley Jung
Suppose is an inclusion of -factors of finite index. If can be generated by a finite set of elements, then there exist finite generating sets for an…
Fractal entropies and dimensions for microstate spaces, II
Kenley Jung
For a selfadjoint element x in a tracial von Neumann algebra and we compute bounds for where is the free Hausdorff -entropy of $x.…
A hyperfinite inequality for free entropy dimension
Kenley Jung
If and are finite sets of selfadjoint elements in a tracial von Neumann algebra and generates a hyperfinite von Neumann algebra, then $δ_0(X \cup Y \cup Z) \leq δ_0…
Dimension and Entropy Computations for
Kenley Jung
We show that certain generating sets of Dykema and Radulescu for have free Hausdorff dimension r and nondegenerate free Hausdorff r-entropy