53 citations · 64 across the 4 of their papers we have counts for
4 papers
Rohklin dimension for C*-correspondences
N. P. Brown, A. Tikuisis, A. M. Zelenberg
We extend the notion of Rokhlin dimension from topological dynamical systems to -correspondences. We show that in the presence of finite Rokhlin dimension and a mild quasidiag…
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…
Quasidiagonality and the finite section method
Nathanial P. Brown
Quasidiagonal operators on a Hilbert space are a large and important class (containing all self-adjoint operators for instance). They are also perfectly suited for study via the fi…
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…