77 citations
4 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.…
Strongly self-absorbing C*-algebras
Andrew S. Toms, Wilhelm Winter
Say that a separable, unital C*-algebra D is strongly self-absorbing if there exists an isomorphism such that and are approximately un…
On the classification of simple Z-stable C*-algebras with real rank zero and finite decomposition rank
Wilhelm Winter
We show that, if A is a separable simple unital C*-algebra which absorbs the Jiang-Su algebra Z tensorially and which has real rank zero and finite decomposition rank, then A is tr…
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…