53 citations · 59 across the 4 of their papers we have counts for
4 papers
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…
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…
Projections in free product C*-algebras
Kenneth J. Dykema, Mikael Rordam
Consider the reduced free product of C*-algebras, (A,ϕ)=(A_1,ϕ_1)*(A_2,ϕ_2), with respect to states ϕ_1 and ϕ_2 that are faithful. If ϕ_1 and ϕ_2 are traces, if the so-called Avitz…
Two applications of free entropy
Ken Dykema
Using Voiculsecu's free entropy, it is shown that the free group factors L(F_n) lack property C of Popa and that they lack finite multiplicity abelian subalgebras. Property C is an…