K. Dykema

activity

19922023

most citedConnes' embedding conjecture and sums of hermitian squares

116 citations · 470 across the 86 of their papers we have counts for

collaborators

Showing 2006 · math.OAShow all

3 papers · 2 filters

math.OA2006★ 27 cited

Unique ergodicity of free shifts and some other automorphisms of C*-algebras

Beatriz Abadie, Ken Dykema

A notion of unique ergodicity relative to the fixed-point subalgebra is defined for automorphisms of unital C*-algebras. It is proved that the free shift on any reduced amalgamated…

math.OA2006★ 116 cited

Connes' embedding conjecture and sums of hermitian squares

Igor Klep, Markus Schweighofer

We show that Connes' embedding conjecture on von Neumann algebras is equivalent to the existence of certain algebraic certificates for a polynomial in noncommuting variables to sat…

math.OA2006

The free entropy dimension of some $L^{\infty} [0, 1]$ -circular operators

Kenneth J. Dykema, Gabriel H. Tucci

We find the microstates free entropy dimension of a large class of $L^{\infty} [0, 1]$ -circular operators, in the presence of a generator of the diagonal subalgebra.

Unique ergodicity of free shifts and some other automorphisms of C*-algebras

Connes' embedding conjecture and sums of hermitian squares

The free entropy dimension of some L∞[0,1]-circular operators

The free entropy dimension of some $L^{\infty} [0, 1]$ -circular operators