53 citations · 80 across the 16 of their papers we have counts for
16 papers
The Bootstrap and von Neumann algebras: The Maximal Intersection Lemma
Kenley Jung
Given a suitably nested family of Borel subsets of matrices, and associated Borel measures and rate function, , an entrop…
The Rank Theorem and -invariants in Free Entropy: Global Upper Bounds
Kenley Jung
Using an analogy with the rank theorem in differential geometry, it is shown that for a finite -tuple in a tracial von Neumann algebra and any finite -tuple of -po…
Graphs of functions and vanishing free entropy
Kenley Jung
Suppose X is an n-tuple of selfadjoint elements in a tracial von Neumann algebra M. If z is a selfadjoint element in M and for some selfadjoint element y in the von Neumann algebra…
A propagation property of free entropy dimension
Kenley Jung
Let M be a tracial von Neumann algebra and A be a weakly dense unital C*-subalgebra of M. We say that a set X is a W*-generating set for M if the von Neumann algebra generated by X…
Free Entropy Dimension in Amalgamated Free Products
Nathanial P. Brown, Kenneth J. Dykema, Kenley Jung
We calculate the microstates free entropy dimension of natural generators in an amalgamated free product of certain von Neumann algebras, with amalgamation over a hyperfinite subal…
All generating sets of all property T von Neumann algebras have free entropy dimension
Kenley Jung, Dimitri Shlyakhtenko
Suppose is a diffuse, property T von Neumann algebra and X is an arbitrary finite generating set of selfadjoint elements for N. By using rigidity/deformation arguments applied…