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math.OA2006★ 53 cited
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…
math.OA2000★ 6 cited
Topological Entropy of Free Product Automorphisms
N. P. Brown, K. Dykema, D. Shlyakhtenko
Using free probability constructions involving Cuntz-Pimsner C*-algebras we show that the topological entropy of the free product of two automorphisms is equal to the maximum of th…