Matrices of unitary moments

Ken Dykema, Kate Juschenko


We investigate certain matrices composed of mixed, second-order moments of unitaries. The unitaries are taken from $C^*$-algebras with moments taken with respect to traces, or, alternatively, from matrix algebras with the usual trace. These sets are of interest in light of a theorem of E. Kirchberg about Connes' embedding problem.

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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