3 citations · 8 across the 11 of their papers we have counts for
24 papers
Multilinear function series and transforms in free probability theory
Ken Dykema
The algebra Mul[[B]] of formal multilinear function series over an algebra B and its quotient SymMul[[B]] are introduced, as well as corresponding operations of formal composition.…
On the S-transform over a Banach algebra
Kenneth J. Dykema
The S-transform is shown to satisfy a specific twisted multiplicativity property for free random variables in a B-valued Banach noncommutative probability space, for an arbitrary u…
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…
Non-Outer Conjugate --Actions on Free Product Factors
Kenneth Dykema, Maria Grazia Viola
We show that for any prime p and for any II factor N there exist two -- actions on the free product factor that have the same outer invariant but…
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…
The completely bounded approximation property for extended Cuntz-Pimsner algebras
Kenneth J. Dykema, Roger R. Smith
The extended Cuntz-Pimsner algebra E(H), introduced by Pimsner, is constructed from a Hilbert B,B-bimodule H over a C*-algebra B. In this paper we investigate the Haagerup invarian…