3 citations · 8 across the 11 of their papers we have counts for
22 papers · 1 filter
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…
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…
Sums of commutators in ideals and modules of type II factors
K. J. Dykema, N. J. Kalton
Let M be a factor of type II_\infty or II_1 having separable predual and let M-bar be the algebra of affiliated τ-measureable operators. We characterize the commutator space [I,J]…