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math.OA2002★ 3 cited
Fractal entropies and dimensions for microstate spaces
Kenley Jung
Using Voiculescu's notion of a matricial microstate we introduce fractal dimensions and entropies for finite sets of selfadjoint operators in a tracial von Neumann algebra. We show…
math.OA2002★ 2 cited
A Free Entropy Dimension Lemma
Kenley Jung
Suppose M is a von Neumann algebra with normal, tracial state phi and {a_1,...,a_n} is a set of self-adjoint elements in M. We provide an alternative uniform packing description of…