3 papers
math.OA2004
The Microstates Free Entropy Dimension of any DT--operator is 2
Ken Dykema, Kenley Jung, Dimitri Shlyakhtenko
Suppose that μis an arbitrary Borel measure on the complex plane with compact support and take c > 0. If Z is a DT(μ,c)-operator as defined by Dykema and Haagerup, then the microst…
math.PR2004
Symmetric random walks on certain amalgamated free product groups
Ken Dykema
We consider nearest-neighbor random walks on free products of finitely many copies of the integers with amalgamation over nontrivial subgroups. When all the subgroups have index tw…
math.OA2004
Hyperinvariant subspaces for some B-circular operators
Ken Dykema
We show that if A is a Hilbert-space operator, then the set of all projections onto hyperinvariant subspaces of A, which is contained in the von Neumann algebra vN(A) that is gener…