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Factoriality and Connes' invariant T(M) for free products of von Neumann algebras.

Kenneth J. Dykema — 1994

Journal für die reine und angewandte Mathematik

Sums of commutators in ideals and modules of type II factors

Kenneth J. Dykema; Nigel J. Kalton — 2005

Annales de l’institut Fourier

Let $ℳ$ be a factor of type II $_{\infty}$ or II $_{1}$ having separable predual and let $\bar{ℳ}$ be the algebra of affiliated $τ$ -measurable operators. We characterize the commutator space $[ℐ, 𝒥]$ for sub- $(ℳ, ℳ)$ - bimodules $ℐ$ and $𝒥$ of $\bar{ℳ}$ .

The simplex of tracial quantum symmetric states

Yoann Dabrowski; Kenneth J. Dykema; Kunal Mukherjee — 2014

Studia Mathematica

We show that the space of tracial quantum symmetric states of an arbitrary unital C*-algebra is a Choquet simplex and is a face of the tracial state space of the universal unital C*-algebra free product of A with itself infinitely many times. We also show that the extreme points of this simplex are dense, making it the Poulsen simplex when A is separable and nontrivial. In the course of the proof we characterize the centers of certain tracial amalgamated free product C*-algebras.

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Currently displaying 1 – 3 of 3

Factoriality and Connes' invariant T(M) for free products of von Neumann algebras.

Sums of commutators in ideals and modules of type II factors

The simplex of tracial quantum symmetric states