Kenley Jung

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20012005

most citedSome free entropy dimension inequalities for subfactors

7 citations · 12 across the 8 of their papers we have counts for

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9 papers · 1 filter

math.OA2005

Amenability, tubularity, and embeddings into $R^{ω}$

Kenley Jung

Suppose $M$ is a tracial von Neumann algebra embeddable into $R^{ω}$ (the ultraproduct of the hyperfinite $I I_{1}$ -factor) and $X$ is an $n$ -tuple of selfadjoint generators fo…

math.OA2004

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…

math.OA2004★ 7 cited

Some free entropy dimension inequalities for subfactors

Kenley Jung

Suppose $N \subset M$ is an inclusion of $I I_{1}$ -factors of finite index. If $N$ can be generated by a finite set of elements, then there exist finite generating sets $X$ for $N$ an…

math.OA2003

Fractal entropies and dimensions for microstate spaces, II

Kenley Jung

For a selfadjoint element x in a tracial von Neumann algebra and $α = δ_{0} (x)$ we compute bounds for $H^{α} (x),$ where $H^{α} (x)$ is the free Hausdorff $α$ -entropy of $x.…

math.OA2003

A hyperfinite inequality for free entropy dimension

Kenley Jung

If $X, Y,$ and $Z$ are finite sets of selfadjoint elements in a tracial von Neumann algebra and $X$ generates a hyperfinite von Neumann algebra, then $δ_0(X \cup Y \cup Z) \leq δ_0…

math.OA2003

Dimension and Entropy Computations for $L (F_{r})$

Kenley Jung

We show that certain generating sets of Dykema and Radulescu for $L (F_{r})$ have free Hausdorff dimension r and nondegenerate free Hausdorff r-entropy

Amenability, tubularity, and embeddings into Rω

The Microstates Free Entropy Dimension of any DT--operator is 2

Some free entropy dimension inequalities for subfactors

Fractal entropies and dimensions for microstate spaces, II

A hyperfinite inequality for free entropy dimension

Dimension and Entropy Computations for L(Fr​)

Amenability, tubularity, and embeddings into $R^{ω}$

Dimension and Entropy Computations for $L (F_{r})$