activity
19992008
most citedMultilinear function series and transforms in free probability theory

3 citations · 9 across the 12 of their papers we have counts for

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Showing 1999Show all

9 papers · 1 filter

math.OA1999

Free products of exact groups

Ken Dykema

It has recently been proved that the class of unital exact C*-algebras is closed under taking reduced amalgamated free products. In particular, this implied that the class of exact…

math.OA1999

Topological entropy of some automorphisms of reduced amalgamated free product C*-algebras

Ken Dykema

Certain classes of automorphisms of recued amalgamated free products of C*-algebras are shown to have Brown-Voiculescu topological entropy zero. Also, for automorphisms of exact C*…

math.OA1999

Projections in free product C*-algebras, II

Ken Dykema, Mikael Rordam

Let (A,phi) be the reduced free product of infinitely many pairs (A_i,phi_i) of C*-algebras with faithful states. Assume that the A_i are not too small, in a specific sense. It is…

math.OA1999

Purely infinite, simple C*-algebras arising from free product constructions, III

Marie Choda, Ken Dykema

In the reduced free product of C*-algebras (A,phi)=(A_1,phi_1)*(A_2,phi_2), A is shown to be purely infinite and simple under the hypothesis that A_1 is the crossed product of a C*…

math.OA1999

Purely infinite, simple C*-algebras arising from free product constructions, II

Ken Dykema

Certain reduced free products of C*-algebras, (A,phi)=(A_1,phi_1)*(A_2,ϕ_2), taken with respect to faithful states, at least one of which is not a trace, are shown to be purely inf…

math.OA1999

Exactness of Cuntz-Pimsner C*-algebras

Ken Dykema, Dimitri Shlyakhtenko

Let H be a full Hilbert bimodule over a C*-algebra A. We show that the Cuntz-Pimsner C*-algebra associated to H is exact if and only if A is exact. Using this result, we give alter…